Timothy walks from home to a mailbox. After walking 15 min, he puts a letter in the mailbox.
Then he walks home at the same speed. The
graph shows his distance from the mailbox
as a function of time. What is his walking speed?
A 280 ft/min © 260 ft/min
B 270 ft/min
D 250 ft/min

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:

(1)

Where:

- Distance between home and mailbox, measured in feet.

- Travel time, measured in minutes.

- 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 and , then the walking speed of Timothy is:

The walking speed of Timothy is 250 feet per minute. Hence, the right answer is D.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)