Question

Tali started a pool cleaning business. She purchased cleaning supplies and charged the same amount for each pool cleaned. The expression −243+24x represents the profit Tali has earned from cleaning pools.

Which expression represents the total amount Tali earns from pool cleaning?



24x

24

−243

x

Answer 1

A.
`24x`

Explanation:

We have been given an expression
`-243+24x`, which represents he profit Tali has earned from cleaning pools. We are also told that Tali purchased cleaning supplies and charged the same amount for each pool cleaned.

Upon looking at our expression we can see that
`-243` is constant term and it is negative, so it will represent the amount spent by Tali on supplies.

The term
`24x` contains independent variable
`x`, which represents the number of pools cleaned and 24 represents Tali's earning from each pool.

Since Tali cleaned
`x` pools, so total amount of Tali's earning from cleaning
`x` pools will be
`24x` and option A is the correct choice.

Answer 2

24x

Explanation:

The variable x is used to represent the independent variable in a situation. In this situation, the independent variable would be the number of pools cleaned; this means that x represents the number of pools cleaned.

24x would then indicate that Tali charges $24 per pool cleaned; this makes 24x her total earnings from cleaning pools.