Questions: If your car gets 35 miles per gallon, how much does it cost to drive 430 miles when gasoline costs 3.40 per gallon?
The cost is .
(Simplify your answer. Round to the nearest cent as needed.)
Transcript text: If your car gets 35 miles per gallon, how much does it cost to drive 430 miles when gasoline costs $\$ 3.40$ per gallon?
The cost is $\$$ . $\square$
(Simplify your answer. Round to the nearest cent as needed.)
Solution
Solution Steps
To solve this problem, we need to determine the total cost of driving 430 miles given the car's fuel efficiency and the cost of gasoline. Here's the step-by-step approach:
Calculate the number of gallons of gasoline needed to drive 430 miles.
Multiply the number of gallons by the cost per gallon to get the total cost.
Step 1: Calculate the Number of Gallons Needed
To determine the number of gallons of gasoline required to drive 430 miles, we use the formula:
gallons_needed=miles_per_gallontotal_miles
Given:
total_miles=430milesmiles_per_gallon=35miles per gallon
Substituting the values:
gallons_needed=35430≈12.2857gallons
Step 2: Calculate the Total Cost
To find the total cost of the gasoline, we multiply the number of gallons needed by the cost per gallon:
total_cost=gallons_needed×cost_per_gallon
Given:
cost_per_gallon=3.40dollars per gallon
Substituting the values:
total_cost=12.2857×3.40≈41.77dollars
Final Answer
The cost to drive 430 miles when gasoline costs \$3.40 per gallon is:
\[
\boxed{\$41.77}
\]