A bacterial-count plot has a linear horizontal axis for hours and a logarithmic vertical axis labeled $10^2,10^3,10^4,10^5$. Its points form a straight line rising to the right. What relationship does this show?

A medicine concentration is plotted against time with time on a linear horizontal axis and concentration on a logarithmic vertical axis. The points make a straight line that falls to the right. How does concentration depend on time?

On a semi-log plot, distance is on the linear horizontal axis and light intensity is on the logarithmic vertical axis. The plotted measurements lie on a straight rising line. Which model family fits the data?

A culture's population versus day is a straight descending line on a graph with a linear day axis and a base-10 logarithmic population axis. What is constant for each additional day?

A semi-log plot has a linear $x$-axis and a vertical axis labeled $10^2,10^3,10^4$. A line passes through $(0,10^2)$ and $(2,10^4)$. By what factor does the quantity multiply for each increase of $1$ in $x$?

On a semi-log graph with a base-10 logarithmic vertical axis, a line passes through $(1,10^3)$ and $(4,10^6)$. What is the growth factor for each increase of $1$ in $x$?

A line on a semi-log plot passes through $(2,10)$ and $(6,10^3)$. The horizontal axis is linear and the vertical axis is base-10 logarithmic. What is the growth factor per x-unit?

A semi-log line passes through $(0,5)$ and $(3,40)$, with the quantity on the base-10 logarithmic vertical axis. By what factor does the quantity multiply for each x-unit?

A logarithmic vertical axis has adjacent labeled gridlines $10^4$ and $10^5$. A point lies exactly halfway between them. Which value is closest to the quantity?

On a base-10 logarithmic vertical axis, a point is $0.3$ of the way from the $10^2$ gridline toward the $10^3$ gridline. Which value is closest to the point's value?

A point is one-quarter of the way upward from $10^{-2}$ to $10^{-1}$ on a base-10 logarithmic vertical axis. Which value is closest to the quantity?

Data set $P$ is a straight line on ordinary axes and a curve on semi-log axes. Data set $Q$ is a curve on ordinary axes and a straight line on semi-log axes. How should the sets be classified?

Data set $H$ is straight on ordinary axes but curved on semi-log axes. Data set $J$ is curved on ordinary axes but straight on semi-log axes. Which set has a constant multiplicative factor for equal x-steps?

Data set $U$ is curved on both ordinary axes and semi-log axes. Data set $V$ is straight on ordinary axes and curved on semi-log axes. What conclusion is supported?

A graph of ${\log }_{10}y$ versus $x$ is a line through $(0,2)$ and $(4,4)$. Which exponential model gives $y$ in terms of $x$?

A plot of ${\log }_{10}y$ against $x$ passes through $(0,-1)$ and $(3,2)$. Which equation models the original quantity $y$?

A line on a graph of ${\log }_{10}y$ versus $x$ goes through $(0,5)$ and $(2,4)$. Which model describes $y$?

On a semi-log plot, a population rises by one full decade every $4$ days. It is $300$ on day $0$. Which value is predicted for day $12$?

A quantity starts at $80$ and its semi-log line rises one decade every $5$ hours. Which value is predicted after $15$ hours?

A semi-log line rises by $1.5$ decades every $3$ weeks. The quantity is $60$ at week $0$. Which value is predicted at week $6$?