Question

Claudia goes on a road trip; her car gets 24 miles per gallon (mpg) and gas costs $3.02 per gallon. Let n represent the number of miles Claudia has traveled since she started driving. Suppose Claudia has traveled 216 miles.

How many gallons of gasoline has Jacqueline used since she started driving?
What is the cost of the gasoline that Jacqueline has used since she started driving?
Write an expression in terms of n that represents the number of gallons of gasoline Jacqueline has used since she started driving.
Write an expression in terms of n that represents the cost of the gasoline that Jacqueline has used since she started driving.

Answer 1

Explanation:

Let n represent the number of miles Claudia has traveled since she started driving.

Claudia goes on a road trip; her car gets 24 miles per gallon (mpg).

The expression in terms of n that represents the number of gallons of gasoline Jacqueline has used since she started driving would be

n/24

Gas costs $3.02 per gallon. The expression in terms of n that represents the cost of the gasoline that Jacqueline has used since she started driving would be

n/24 × 3.02 = 3.02n/24

Suppose Claudia has traveled 216 miles, then the number of gallons of gasoline that Jacqueline has used since she started driving is

216 /24 = 9 gallons of gasoline.

The cost of the gasoline that Jacqueline used since she started driving is

(3.02 × 216)/24 = $27.18