Question

The Taft family was spending, on average, $6,182 per year on fuel for their vehicle. Mrs. Taft suggested that they buy a much more fuel-efficient vehicle for $26,000. She estimates that the average fuel costs per year will then be $2,306. Which of the following inequalities can be solved to find y, the number of years after buying the new vehicle at which the total amount of fuel savings will exceed the purchase price of the new vehicle?A) 26,000 - 6,182 > 2,306yB) 26,000 < 6,182/2,306yC) 26,000 < (6,182 - 2,306)yD) 26,000 > (6,182 - 2,306)y

Answer 1

C) 26,000 < (6,182 - 2,306)y

1) Gathering the data

Spent = $6,812 per yer

More efficient car = $26,000

Costs with fuel per year (average) = $2,306

2) So let's write an inequality, where y stands for the number of years that the total amount of fuel savings will exceed the purchase price of the new vehicle.

2306y+

26,0000< 2,306y-6812

Since 6812 y is the expense with fuel yearly, then and 2,306 depends on the number of years then the option is

C) 26,000 < (6,182 - 2,306)y

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