Question

You buy g gallons of gasoline at $3.05 per gallon and pay $36.60. Write an equation to find the number of gallons purchased. Then find the number of gallons of gasoline that you purchased.

Answer 1

The equation to find the number of gallons purchased is:

`C(n) = 3.05n`

You purchased 12 gallons of gasoline

Explanation:

This problem can be modeled by the following first order function

`C(n) = P_(G)n`

Where C(n) is the cost in function to the number of gallons, P is the price of the gallon and n is the number of gallons

The problem states that the price of gasoline is $3.05 per gallon, so P = 3.05

The equation to find the number of gallons purchased is:

`C(n) = 3.05n`

If you pay $36.60, you have C = 36.60, and want to find n, so:

`36.60 = 3.05n`

`n = (36.60)/(3.05)`

`n = 12`

You purchased 12 gallons of gasoline