Assume you drive 12,000 miles per year and that regular gas will cost $2.25/gallon and that premium gas will cost $0.30/gallon more than regular gas.
What is the annual difference in gas cost for the following two vehicles?
Car 1: 30 miles per gallon on average with regular gas
Car 2: 25 miles per gallon on average with premium gas
A. $60 per eyarB. $180 per year
C. $324 per year
D. $548 per year

C. $324 per year

Step-by-step explanation:

Total number of miles driven per year is assumed to be 12000.

If Car 1 uses 30 miles per gallon on average with regular gas, then the number of gallons used for 12000 miles would be

12000/30 = 400 gallons

Regular gas will cost $2.25/gallon.

Cost of 400 gallons of regular gas would be

400 × 2.25 = $900

If Car 2 uses 25 miles per gallon on average with premium gas, then the number of gallons used for 12000 miles would be

12000/25 = 480 gallons

premium gas will cost $0.30/gallon more than regular gas. It means that cost of premium gas is

0.3 + 2.25 = $2.55/gallon

Cost of 480 gallons of premium gas would be

480 × 2.55 = $1224

The annual difference in gas cost for the two vehicles is

1224 - 900 = $324

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.