Question

Savannah wants to get her driveway pressure washed by a professional. Company A charges $40 an hour for the job to be complete. Company B charges $10 to come out and assess the property and $12 an hour for the pressure washing job.

a) Write an algebraic expression to represent the cost of hiring Company A in terms of h hours.
A. Cost_A(h) = 40h
B. Cost_A(h) = 10h + 12
C. Cost_A(h) = 10 + 12h
D. Cost_A(h) = 40 + 12h

Answer 1

The algebraic expression representing the cost of hiring Company A for pressure washing services is Cost_A(h) = 40h, where h is the number of hours worked.

Step-by-step explanation:

To find the algebraic expression representing the cost of hiring Company A for pressure washing services, we need to consider the given rates. Company A charges $40 for every hour of service without any additional fees or fixed costs. Since Savannah is charged based on the number of hours, h, the service takes, we use h to represent the time in hours.

Therefore, the cost for Company A's service in terms of hours can be expressed as:

Cost_A(h) = 40h

This means that for every hour of work, Savannah would pay $40, and after h hours, the total cost would be 40 times h. Looking at the options provided, we can see that the correct one is:

Cost_A(h) = 40h