QuestionAubrey wants to save \$231 by washing cars at \$12 each. Estimate how many cars he needs to wash.

Studdy Solution

STEP 1

Assumptions1. Aubrey needs to save $231. . He charges$ 12 per car wash.
3. We need to find two estimates for the number of cars he needs to wash.

STEP 2

First, let's find a lower estimate by dividing the total amount Aubrey needs to save by the amount he charges per car wash. We'll round up to the nearest whole number since Aubrey can't wash a fraction of a car.
$Lower\, estimate = \lceil Total\, amount / Charge\, per\, car\, wash \rceil$

STEP 3

Now, plug in the given values for the total amount and the charge per car wash to calculate the lower estimate.
$Lower\, estimate = \lceil \$231 / \$12 \rceil$

STEP 4

Calculate the lower estimate.
$Lower\, estimate = \lceil \$231 / \$12 \rceil =20$

STEP 5

Next, let's find an upper estimate by dividing the total amount Aubrey needs to save by the amount he charges per car wash. This time, we'll round down to the nearest whole number.
$Upper\, estimate = \lfloor Total\, amount / Charge\, per\, car\, wash \rfloor$

STEP 6

Now, plug in the given values for the total amount and the charge per car wash to calculate the upper estimate.
$Upper\, estimate = \lfloor \$231 / \$12 \rfloor$

STEP 7

Calculate the upper estimate.
$Upper\, estimate = \lfloor \$231 / \$12 \rfloor =19$ Aubrey needs to wash between19 and20 cars.

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