A landscaping company charges an initial fee of $125 plus an hourly rate of $90. Write and solve an equation to represent the number of hours, h, the job took if the total amount owed was $575

Answer 1

To find the number of hours \( h \) that the job took, we can set up an equation based on the information given.

The total cost of the landscaping service can be expressed as:

\[ \text{Total Cost} = \text{Initial Fee} + (\text{Hourly Rate} \times \text{Number of Hours}) \]

In this case, the initial fee is $125, the hourly rate is $90, and the total amount owed is $575. We can write the equation as:

\[ 575 = 125 + 90h \]

Now, we will solve for \( h \):

1. Subtract the initial fee from both sides:

\[ 575 - 125 = 90h \]

\[ 450 = 90h \]

2. Now, divide both sides by 90 to solve for \( h \):

\[ h = \frac{450}{90} \]

\[ h = 5 \]

So, the job took 5 hours.