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; m = kg direct variation; gm = k inverse variation; inverse variation;

 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

------->

the answer is c)8

step-by-step explanaction: