Question

The proportional relationship between the gallons of gasoline used by Abigail, g, and the total number of miles she drives, m, can be represented by the equation m, equals, 35, point, 2, gm=35.2g. What is the rate of gas usage, in miles per gallon?

Answer 1

To find the rate of gas usage in miles per gallon, we need to determine the number of miles Abigail can drive on one gallon of gasoline.

The equation relating the gallons of gasoline used (g) and the total number of miles driven (m) is given as:

m = 35.2g

To find the rate of gas usage, we can rearrange the equation to solve for g:

g = m/35.2

This equation represents the number of gallons of gasoline used for a given number of miles driven. However, we want to express the rate in miles per gallon, so we need to find the reciprocal of g:

1/g = 35.2/m

This equation gives us the rate of gas usage in gallons per mile. To express it in miles per gallon, we take the reciprocal again:

1/(1/g) = 1/(35.2/m)

Simplifying the expression on the right side:

1/(1/g) = m/35.2

Therefore, the rate of gas usage in miles per gallon is m/35.2.