Question

You have a summer job detailing cars. You charge $5 to wash a car, $25 to wax a car, and $2 to vacuum a car. What algebraic expression models the total amount you can earn? If you wash 8 cars, wax 2 cars, and vacuum 6 cars, how much will you earn in all?

Answer 1

$102
Just muilt. & add the numbers up

Answer 2

`T = 5x+25y+2z` algebraic expression models the total amount you can earn .

You earn $102 in total If you wash 8 cars, wax 2 cars, and vacuum 6 cars

Explanation:

Let x be the no. of cars you washed

Cost of washing 1 car = $5

Cost of washing x cars = 5x

Let y be the no. of cars waxed

Cost of waxing 1 car = $25

Cost of waxing y cars = 25y

Let z be the no. of cars vacuumed

Cost of vacuuming 1 car = $2

Cost of vacuuming z cars = 2z

Let T be the total cost

So,
`T = 5x+25y+2z`

So,
`T = 5x+25y+2z` algebraic expression models the total amount you can earn .

Now we are supposed to find that you wash 8 cars, wax 2 cars, and vacuum 6 cars, how much will you earn in all?

x = 8

y= 2

z=6

Substitute the value in the expressions

`T = 5(8)+25(2)+2(6)`

`T = 102`

Hence You earn $102 in total If you wash 8 cars, wax 2 cars, and vacuum 6 cars