Question

a. as the average speed increases, so does the time he takes to get to school.
b. as the average speed increases, the time he takes to get to school decreases.
c. the speed he bikes at does not affect the time it takes him to get to school.
d. the speed he bikes at affects the time it takes him to get to school, but it is unclear if the time increases or decreases.

Explanation:

Step1: Analyze the relationship between speed and time

In general, when the distance is constant (assuming the distance to school is fixed), the relationship between speed \(v\) and time \(t\) is given by the formula \(d = v\times t\) (where \(d\) is distance). So, \(t=\frac{d}{v}\), which is an inverse - relationship.

Step2: Interpret the scatter - plot

Looking at the scatter - plot of "Average Speed" (on the \(y\) - axis) and "Time to Get to School" (on the \(x\) - axis). As the value of the \(y\) - variable (average speed) increases, the value of the \(x\) - variable (time) decreases. For example, if we consider two points: a point with a relatively low \(y\) - value (lower speed) has a relatively high \(x\) - value (more time), and a point with a relatively high \(y\) - value (higher speed) has a relatively low \(x\) - value (less time).

Answer:

B. As the average speed increases, the time he takes to get to school decreases.