Answer:
D. 250 feet per minute
Step-by-step explanation:
According to this question, Timothy walks at constant speed. From Physics we know that speed is the magnitude of velocity and is determined by the following definition:
[tex]v = \frac{\Delta x}{\Delta t}[/tex] (1)
Where:
[tex]\Delta x[/tex] - Distance between home and mailbox, measured in feet.
[tex]\Delta t[/tex] - Travel time, measured in minutes.
[tex]v[/tex] - Walking speed of Timothy, measured in meters per second.
The distance is represented by the vertical axis of the graph, whereas the travelling time is from the horizontal axis.
If we know that [tex]\Delta x = 3,750\,ft[/tex] and [tex]\Delta t = 15\,min[/tex], then the walking speed of Timothy is:
[tex]v = \frac{3,750\,ft}{15\,min }[/tex]
[tex]v = 250\,\frac{ft}{min}[/tex]
The walking speed of Timothy is 250 feet per minute. Hence, the right answer is D.
