Ricco was reviewing the water bill for his carwash business and determined that the highest bill,$6,000,occurred in July when 2,000 cars were washed and the lowest bill,$4,500,occurred in February when 1,000 cars were washed.What was the fixed portion of the water bill?

Question

Quizplus · Accepted Answer

To find the fixed portion of the water bill, we need to use the high and low bills and their corresponding number of cars washed.

Let's start by using the high bill:

$6,000 = variable portion of the bill + fixed portion of the bill

We know that 2,000 cars were washed in July, so we can use this information to find the variable portion of the bill.

$6,000 = 2,000(x) + fixed portion of the bill

Simplifying this equation, we get:

$6,000 - fixed portion of the bill = 2,000(x)

Dividing by 2,000:

3 = x

So the variable cost per car wash is $3.

Now let's use the low bill:

$4,500 = 1,000(x) + fixed portion of the bill

Using the same logic as before, we know that the variable cost per car wash is $3, so:

$4,500 - 3(1,000) = fixed portion of the bill

$4,500 - $3,000 = fixed portion of the bill

$1,500 = fixed portion of the bill

Therefore, the fixed portion of the water bill is $1,500.

Ricco Was Reviewing the Water Bill for His Carwash Business