What the Slope and Intercept Mean

Question 1

The trend line drawn on the plot is y = 6x + 20. What does its slope mean for this ice cream stand?

Accepted Answer

about 6 more cones are sold for each 1 degree Celsius rise in temperature

Answer

about 6 cones are sold on a day with a high of 0 degrees Celsius

Answer

about 20 more cones are sold for each 1 degree Celsius rise in temperature

Answer

the temperature rises about 6 degrees Celsius for each extra cone sold

Question 2

The line drawn through the points has equation y = -0.4x + 15. What does the -0.4 stand for as the candle burns?

Accepted Answer

the candle gets about 0.4 cm shorter each minute

Answer

the candle is about 0.4 cm tall before it is lit

Answer

the candle gets about 15 cm shorter each minute

Answer

the candle takes about 0.4 minutes to burn down 1 cm

Question 3

A trend line y = 8x + 25 fits the plotted bills. What does its slope say about the cost of extra data?

Accepted Answer

the bill rises about $8 for each extra gigabyte used

Answer

the bill is about $8 when no extra gigabytes are used

Answer

the bill rises about $25 for each extra gigabyte used

Answer

about 8 extra gigabytes are used for each extra dollar on the bill

Question 4

The plot's trend line is y = 1.5x + 2. What does its slope tell you about the puppy?

Accepted Answer

the puppy gains about 1.5 kg each week

Answer

the puppy weighed about 1.5 kg in its first week

Answer

the puppy gains about 2 kg each week

Answer

the puppy takes about 1.5 weeks to gain 1 kg

Question 5

The trend line passes through (0, 22) and (6, 10), so it is y = -2x + 22. What does its slope mean for the car?

Accepted Answer

the value falls about $2 thousand for each year the car ages

Answer

the car was worth about $2 thousand when it was new

Answer

the value falls about $22 thousand for each year the car ages

Answer

the car ages about 2 years for each $1 thousand of value it loses

Question 6

For these swimmers the trend line is y = -1.2x + 42. What change does its slope describe?

Accepted Answer

each extra practice session each week cuts about 1.2 seconds off the time

Answer

a swimmer with no practice sessions is timed at about 1.2 seconds

Answer

each extra practice session each week cuts about 42 seconds off the time

Answer

about 1.2 extra practice sessions are needed to cut 1 second off the time

Question 7

The bus data has trend line y = 3x + 12. What does the 3 mean for this route?

Accepted Answer

each extra stop adds about 3 minutes to the trip

Answer

a trip with no stops takes about 3 minutes

Answer

each extra stop adds about 12 minutes to the trip

Answer

the bus makes about 3 stops in every minute of the trip

Question 8

The trend line drawn here is y = -1.8x + 30. What does its slope say about the snow?

Accepted Answer

the snow gets about 1.8 cm shallower each hour

Answer

the snow was about 1.8 cm deep when it stopped falling

Answer

the snow gets about 30 cm shallower each hour

Answer

the snow takes about 1.8 hours to lose 1 cm of depth

Question 9

A baker's data has the trend line y = 0.5x + 1. What does its slope mean about the flour?

Accepted Answer

about 0.5 kg more flour is used for each extra loaf baked

Answer

about 0.5 kg of flour is used before any loaves are baked

Answer

about 1 kg more flour is used for each extra loaf baked

Answer

about 0.5 more loaves are baked for each extra kilogram of flour

Question 10

The trend line for the reservoir is y = -0.6x + 18. What does its slope describe?

Accepted Answer

the water level drops about 0.6 m each week of the drought

Answer

the water level was about 0.6 m when the drought began

Answer

the water level drops about 18 m each week of the drought

Answer

the level takes about 0.6 weeks to drop by 1 m

Question 11

The plotted rides fit the trend line y = 0.3x + 1. What does the 0.3 mean here?

Accepted Answer

the rider covers about 0.3 km more for each extra minute of cycling

Answer

the rider was about 0.3 km from home before setting off

Answer

the rider covers about 1 km more for each extra minute of cycling

Answer

the rider takes about 0.3 minutes to cover each kilometer

Question 12

Books piled on a tray fit the trend line y = 2.5x + 5. What does its slope mean for the pile?

Accepted Answer

the pile gets about 2.5 cm taller for each extra book

Answer

an empty tray is about 2.5 cm tall

Answer

the pile gets about 5 cm taller for each extra book

Answer

about 2.5 books are needed to add 1 cm to the pile

Question 13

The battery data fits y = -0.5x + 95. What does its slope tell you about playing video?

Accepted Answer

the charge falls about 0.5 percent for each minute of video played

Answer

the charge is about 0.5 percent before any video is played

Answer

the charge falls about 95 percent for each minute of video played

Answer

about 0.5 minutes of video are played for each percent of charge used

Question 14

The unloading data fits the trend line y = -4x + 60. What does its slope mean for the crew?

Accepted Answer

each extra worker cuts about 4 minutes off the unloading time

Answer

one worker alone needs about 4 minutes to unload the truck

Answer

each extra worker cuts about 60 minutes off the unloading time

Answer

about 4 extra workers are needed to save 1 minute of unloading time

Question 15

The trend line drawn on the plot is y = 0.8x + 40. What does its y-intercept mean for a student here?

Accepted Answer

a student who studies for no minutes is predicted to score about 40 points

Answer

each minute of studying adds about 40 points to the score

Answer

a student who studies for no minutes is predicted to score about 0.8 points

Answer

scoring 40 points takes about 0.8 minutes of studying

Question 16

A trend line y = 1.2x + 3 is drawn on the fare plot. What does its y-intercept stand for?

Accepted Answer

a ride of 0 km still costs about $3

Answer

the fare rises about $3 for each kilometer traveled

Answer

a ride of 0 km still costs about $1.20

Answer

about $3 pays for the first 1.2 km of a ride

Question 17

The gym cost data fits y = 2x + 30. In this situation, what does the 30 mean?

Accepted Answer

a member who visits no times still pays about $30 for the month

Answer

each visit in the month costs about $30

Answer

a member who visits no times still pays about $2 for the month

Answer

about 30 visits are included before any extra charge begins

Question 18

The van charges fit the trend line y = 0.5x + 40. What does its y-intercept mean for a customer?

Accepted Answer

a van driven 0 km is still charged about $40

Answer

each kilometer driven adds about $40 to the charge

Answer

a van driven 0 km is still charged about $0.50

Answer

about 40 km are free before the charge starts

Question 19

The savings plot has trend line y = 15x + 50. What does its y-intercept tell you about the plan?

Accepted Answer

about $50 was already saved when the plan started

Answer

about $50 is added to the savings each week

Answer

about $15 was already saved when the plan started

Answer

it takes about 50 weeks to save the first $15

Question 20

A trend line y = 9x + 20 is drawn through the tank readings. What does its y-intercept mean?

Accepted Answer

the tank already held about 20 liters when the tap was opened

Answer

the tank gains about 20 liters each minute the tap runs

Answer

the tank already held about 9 liters when the tap was opened

Answer

the tank takes about 20 minutes to gain its first 9 liters

Question 21

The resale plot has trend line y = -12x + 400. What does its y-intercept stand for here?

Accepted Answer

a phone that is 0 months old is predicted to resell for about $400

Answer

the resale price falls about $400 for each month the phone ages

Answer

a phone that is 0 months old is predicted to resell for about $12

Answer

a phone reselling for $400 is about 12 months old

Question 22

The catering costs fit y = 18x + 120. What does its y-intercept mean for the host?

Accepted Answer

a party with no guests still costs about $120

Answer

each guest adds about $120 to the cost of the party

Answer

a party with no guests still costs about $18

Answer

about 120 guests are covered before the cost starts to rise

Question 23

For these runners the trend line is y = -0.5x + 32. What does its y-intercept mean?

Accepted Answer

a runner with no training weeks is predicted to take about 32 minutes

Answer

each week of training cuts about 32 minutes off the run time

Answer

a runner with no training weeks is predicted to take about 0.5 minutes

Answer

a run of 32 minutes needs about 0.5 weeks of training

Question 24

The cooling soup fits the trend line y = -1.5x + 85. What does its y-intercept mean?

Accepted Answer

the soup was about 85 degrees Celsius when it was served

Answer

the soup cools by about 85 degrees Celsius each minute

Answer

the soup was about 1.5 degrees Celsius when it was served

Answer

the soup takes about 85 minutes to cool by 1.5 degrees Celsius

Question 25

The trend line drawn on the plot passes through (0, 4) and (10, 24). What is its slope, with units?

Accepted Answer

2 cm per week

Answer

20 cm per week

Answer

4 cm per week

Answer

0.5 weeks per cm

Question 26

The trend line on the fuel plot passes through (0, 48) and (6, 12). What is its slope, with units?

Accepted Answer

-6 liters per hour

Answer

-36 liters per hour

Answer

-48 liters per hour

Answer

-0.17 hours per liter

Question 27

The trend line drawn here passes through (2, 33) and (6, 69). What is its slope, with units?

Accepted Answer

9 dollars per pizza

Answer

36 dollars per pizza

Answer

15 dollars per pizza

Answer

0.11 pizzas per dollar

Question 28

The trend line on the walking plot passes through (0, 100) and (15, 1300). What is its slope, with units?

Accepted Answer

80 meters per minute

Answer

1200 meters per minute

Answer

100 meters per minute

Answer

0.0125 minutes per meter

Question 29

The trend line drawn on the compost plot passes through (0, 60) and (20, 30). What is its slope, with units?

Accepted Answer

-1.5 kilograms per day

Answer

-30 kilograms per day

Answer

-60 kilograms per day

Answer

-0.67 days per kilogram

Question 30

The trend line on this plot passes through (0, 1) and (10, 7). What is its slope, with units?

Accepted Answer

0.6 meters per year

Answer

6 meters per year

Answer

1 meter per year

Answer

1.67 years per meter

Question 31

The trend line drawn on the fundraiser plot passes through (10, 320) and (30, 560). What is its slope, with units?

Accepted Answer

12 dollars per ticket

Answer

240 dollars per ticket

Answer

200 dollars per ticket

Answer

0.08 tickets per dollar

Question 32

The trend line on the temperature plot passes through (0, 24) and (7, 10). What is its slope, with units?

Accepted Answer

-2 degrees Celsius per hour

Answer

-14 degrees Celsius per hour

Answer

-24 degrees Celsius per hour

Answer

-0.5 hours per degree Celsius

Question 33

The trend line drawn on the plot passes through (0, 90) and (6, 60). What change in the water does the line predict over any 4 days?

Accepted Answer

a fall of about 20 liters

Answer

a rise of about 20 liters

Answer

a fall of about 5 liters

Answer

a fall of about 30 liters

Question 34

The plot's trend line passes through (0, 40) and (8, 240). What change in the jar does the line predict over any 3 weeks?

Accepted Answer

a rise of about $75

Answer

a fall of about $75

Answer

a rise of about $25

Answer

a rise of about $200

Question 35

The trend line drawn here passes through (0, 20) and (5, 5). What temperature change does the line predict over any 4 hours after sunset?

Accepted Answer

a fall of about 12 degrees Celsius

Answer

a rise of about 12 degrees Celsius

Answer

a fall of about 3 degrees Celsius

Answer

a fall of about 15 degrees Celsius

Question 36

The trend line on this plot passes through (0, 500) and (10, 350). What change in trade-in value does the line predict over any 6 months?

Accepted Answer

a fall of about $90

Answer

a rise of about $90

Answer

a fall of about $15

Answer

a fall of about $150

Question 37

The trend line drawn on the ride plot passes through (0, 0.5) and (40, 10.5). What change in distance does the line predict over any 20 minutes?

Accepted Answer

a rise of about 5 km

Answer

a fall of about 5 km

Answer

a rise of about 0.25 km

Answer

a rise of about 10 km

Question 38

The trend line drawn on the timber plot passes through (0, 30) and (10, 26). What change in moisture does the line predict over any 5 days?

Accepted Answer

a fall of about 2 percent

Answer

a rise of about 2 percent

Answer

a fall of about 0.4 percent

Answer

a fall of about 4 percent

Question 39

The plot's trend line passes through (0, 30) and (200, 70). What change in cost does the line predict over any 50 extra copies?

Accepted Answer

a rise of about $10

Answer

a fall of about $10

Answer

a rise of about $0.20

Answer

a rise of about $40

Question 40

The trend line drawn on the workshop plot passes through (0, 8) and (15, 26). What change in time does the line predict over any 10 extra shelves?

Accepted Answer

a rise of about 12 hours

Answer

a fall of about 12 hours

Answer

a rise of about 1.2 hours

Answer

a rise of about 18 hours

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What the Slope and Intercept Mean

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Top Corner

What the Slope and Intercept Mean

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner