Question
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
Answers
GPT-4o mini
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**.
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**.