One week, kerry travels 125 miles and uses 5 gallons of gasoline. the next week, she travels 175 miles and uses 7 gallons of gasoline. which best describes the function that can be used to represent m, the number of miles traveled, and g, the number of gallons used?

 direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In this problem

Let

m------> the number of miles traveled

g------> the number of gallons used

we have that

The linear direct variation that represent the situation is equal to the equation

 or

where

k is the constant of proportionality

In a direct variation the constant k is equal to the slope m of the line, and the line passes through the origin

substitute

------->

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !