How to Compare Prices of Auto Rental Agencies for the Use of a Midsize Car

How can you determine the distance in miles that would make the total charges of two auto rental agencies equal?

Tony compares prices of two auto rental agencies for the use of a midsize car for one week. Affordable Auto charges $.20 per mile plus a flat fee of $382, while Budget Auto charges $.25 per mile plus a flat fee of $356. Which equation shows how Tony can determine the distance in miles that would make the total charges of both auto rental agencies equal?

a) 382 + 20x = 356 + 25x

b) 356 + 0.20x = 382 + 0.25x

c) 358 + 20x = 382 + 25x

d) 382 + 0.20x = 356 + 0.25x

Answer:

The equation that shows Tony would get the same charges from both auto rental agencies depending on the distance in miles driven is '382 + 0.20x = 356 + 0.25x', where 'x' is the number of miles.

To compare the total charges of two auto rental agencies for a midsize car, we need to consider both the flat fee and the cost per mile. Affordable Auto charges a flat fee of $382 and $.20 per mile, while Budget Auto charges a flat fee of $356 and $.25 per mile.

To determine the distance in miles that would make the total charges of both agencies equal, we can set up an equation where the total charges of both agencies are the same:

382 + 0.20x = 356 + 0.25x

By solving this equation, we can find the value of 'x' which represents the number of miles that would make the total charges equal for both auto rental agencies.

The question involves setting up and solving an equation to compare the total charges of two auto rental agencies based on their flat fees and cost per mile. By equating the total charges of both Affordable Auto and Budget Auto, we can find the distance in miles that results in equal charges for both agencies.