Question

This graph shows a proportional relational between the distance traveled by Tim on a road trip and the number
of hours for which he traveled.
Distance Traveled by Tim
250
200
150
Distance (mi)
100
50
0
10
6 8
Number of Hours
Which statement identifies the correct slope and the correct interpretation of the slope for this situation?
50
A The slope of the line is
1
so the distance traveled by Tim is miles every hour.
50
B The slope of the line is so the distance traveled by Tim is miles every hours.
1
1
The slope of the line is
50
so the distance traveled by Tim is miles every hour.

Answer 1

Using the proportional relationship, it is found that the correct statement regarding the slope of the relation is:

The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality, which is also called the slope.

Researching the problem on the internet, it is found that in 2 hours, Tim traveled 50 miles, hence:

k = 50/2 = 25.

The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.

More can be learned about proportional relationships at https://brainly.com/question/10424180