Two-variable data: Models and scatterplots SAT question

Choice C is correct. The scatterplot shows that there was an increase in recorded temperature from $x=2$ to $x=3$ and from $x=6$ to $x=7$. When $x=2$, the recorded temperature was approximately $60^{\circ }\text{F}$ and when $x=3$, the recorded temperature was greater than $70^{\circ }\text{F}$. This means that the increase in recorded temperature from $x=2$ to $x=3$ was greater than $(70-60{)}^{\circ }\text{F}$, or $10^{\circ }\text{F}$. When $x=6$, the recorded temperature was greater than $60^{\circ }\text{F}$ and when $x=7$, the recorded temperature was less than $70^{\circ }\text{F}$. This means that the increase in recorded temperature from $x=6$ to $x=7$ was less than $(70-60{)}^{\circ }\text{F}$, or $10^{\circ }\text{F}$. It follows that the greatest increase in recorded temperature took place from $x=2$ to $x=3$.

Choice A is incorrect. The increase in recorded temperature from $x=6$ to $x=7$ was less than the increase in recorded temperature from $x=2$ to $x=3$.

Choice B is incorrect. From $x=5$ to $x=6$, a decrease, not an increase, in recorded temperature took place.

Choice D is incorrect. From $x=1$ to $x=2$, a decrease, not an increase, in recorded temperature took place.