Question

Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter's equation?

Answer 1

C:Peter walks at a rate of 13/4 miles per hour.

Explanation:

Answer 2

C:Peter walks at a rate of 13/4 miles per hour.

Explanation:

The equation used to model the number miles walked by Peter after x hours is

`y=(13)/(4)x` (1)

where

x is the number of hours

y is the number of miles walked

For an object moving in uniform motion (=at constant velocity), the distance covered in a time t can be written as

`d=vt` (2)

where

d is the distance covered

v is the velocity

t is the time

By comparing eq(1) and eq(2), we notice that the two are the same, if we put

`v=(13)/(4)`

which means that Peter's velocity is 13/4 miles per hour. Therefore, the correct option is

C:Peter walks at a rate of 13/4 miles per hour.