67.9k views
5 votes
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?

User Yuvrajsinh
by
3.2k points

2 Answers

5 votes

Answer

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

Explanation:

User Adrian Elder
by
3.1k points
5 votes

Answer:

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.

User Alexander Kurakin
by
3.7k points