Question

yvonnes car with an 11 - gallon gas tank gets an average of 32 miles per gallon. she travels 12 hours at an average speed of 64 miles per hour. gas costs $3.25 per gallon. how much does the gasoline cost for this trip? $

Explanation:

Step1: Calculate total miles traveled

Using the formula \( \text{Distance} = \text{Speed} \times \text{Time} \), with speed \( 64 \) miles per hour and time \( 12 \) hours.
\( \text{Distance} = 64 \times 12 = 768 \) miles.

Step2: Calculate gallons of gas used

Using the formula \( \text{Gallons} = \frac{\text{Distance}}{\text{Miles per Gallon}} \), with distance \( 768 \) miles and miles per gallon \( 32 \).
\( \text{Gallons} = \frac{768}{32} = 24 \) gallons.

Step3: Calculate total gas cost

Using the formula \( \text{Cost} = \text{Gallons} \times \text{Cost per Gallon} \), with gallons \( 24 \) and cost per gallon \( \$3.25 \).
\( \text{Cost} = 24 \times 3.25 = 78 \) dollars.

Answer:

\( \$78 \)