Question

A landscaping company charges customers a one-time fee and an hourly rate of 10. For 1 hour of service, the company charges 35.

Which equation represents the total charge t for h hours of landscaping?
A) t=10h+25
B) t=25t+10
C) t=10h
D) t=35h+10
How much does the landscaper charge for 4 hours of service?

Answer 1

The landscaping company uses the linear equation t = 10h + 25 to calculate the total charge for h hours of service, where t is the total charge and h is the number of hours. For 4 hours of service, they charge $65.

Step-by-step explanation:

The landscaping company charges a one-time fee plus an hourly rate for their services. For 1 hour of service at an hourly rate of $10, the total charge is $35. This means that the one-time fee is $35 - $10 = $25. Therefore, the equation representing the total charge t for h hours of landscaping is t = 10h + 25. This equation includes a one-time fee of $25 and an hourly charge of $10.

To find out how much the landscaper charges for 4 hours of service, we simply plug in 4 for h in the equation:
t = 10(4) + 25
t = 40 + 25
t = $65.

So, the landscaping company charges $65 for 4 hours of service.