What is the cost of gasoline for a car that travels 336 miles at a rate of 21 miles per gallon if gasoline costs $2.82 per gallon?

What is the cost of gasoline for a car that travels 336 miles at a rate of 21 miles per gallon if gasoline costs $2.82 per gallon?

• A. $38.18
• B. $45.12
• C. $47.73
• D. $59.27

Answer: (B)

To find the cost of gasoline for a car traveling 336 miles at a rate of 21 miles per gallon, begin by calculating the total gallons of gasoline needed for the trip. This is done by dividing the total distance by the miles per gallon the car achieves. First, divide 336 miles by 21 miles per gallon: \[ \text{Total gallons needed} = \frac{336 \text{ miles}}{21 \text{ miles per gallon}} = 16 \text{ gallons} \] Next, to determine the total cost of the gasoline, multiply the total gallons required by the price per gallon. With gasoline costing $2.82 per gallon, the calculation is as follows: \[ \text{Total cost} = 16 \text{ gallons} \times 2.82 \text{ dollars per gallon} = 45.12 \text{ dollars} \] Therefore, the cost of the gasoline for the trip amounts to $45.12, confirming that this calculation accurately reflects the total expense of the gasoline based on the distance, fuel efficiency, and cost per gallon provided.

To find the cost of gasoline for a car traveling 336 miles at a rate of 21 miles per gallon, begin by calculating the total gallons of gasoline needed for the trip. This is done by dividing the total distance by the miles per gallon the car achieves.

First, divide 336 miles by 21 miles per gallon:

[

\text{Total gallons needed} = \frac{336 \text{ miles}}{21 \text{ miles per gallon}} = 16 \text{ gallons}

]

Next, to determine the total cost of the gasoline, multiply the total gallons required by the price per gallon. With gasoline costing $2.82 per gallon, the calculation is as follows:

[

\text{Total cost} = 16 \text{ gallons} \times 2.82 \text{ dollars per gallon} = 45.12 \text{ dollars}

]

Therefore, the cost of the gasoline for the trip amounts to $45.12, confirming that this calculation accurately reflects the total expense of the gasoline based on the distance, fuel efficiency, and cost per gallon provided.