Question

A cleaning company's monthly earnings depend on the

number of houses cleaned, h. Spotless Homes charges

$150 each month to clean one house.

The owners of Spotless Homes plan to raise their fees

starting next month. They will charge $175 each month to

clean each house. The owners write this new equation to

represent the new earnings, e, for cleaning h houses:

e = 150 + 25h

Is their equation correct? Why or Why not? Explain your

reasoning

Answer 1

The equation is not correct because the statement indicates that they charged $150 to clean one house which means that the equation showed that the earnings were the result of multiplying the price to clean one house for the number of houses cleaned, which is:

e=150h

As the statement indicates that they plan to raise their fees and they will charge $175 to clean each house, this means that the price changes from 150 to 175 and you have to replace this in the formula and because of this the new equation would be:

e=175h

The equation the owners wrote is not right because it shows that the earnings are equal to a fixed charge of $150 plus a price of $25 for the number of houses and the statement says that the price is $175 for each house so the number of houses cleaned should be multiplied for that price.