Question

A landscape service charges customers a one time fee and an hourly rate of $15. For 3 hours of work, it charges $75. Write an equation in point slope form and how much does the landscape service charge for 10 hours of work?

Answer 1

10 hours costs $180.

Explanation:

We know that:

• The service charges $15 per hour plus a fixed fee, which is unknown.
• For 3 hours charges $75.

So, using this data we can form the relation for the problem:

`15(3)+b=75`; where b is the unknown fixed fee.

Solving for b:

`b=75-45=30`

With this result, the explicit linear equation would be:

`y=15x+30`; where x is hours and y is the total cost.

For 10 hours would be:

`y=15(10)+30=150+30=180`

Therefore, for 10 hours the charge is $180.

Answer 2

A landscape service charges customers a one time fee and an hourly rate of $15. For 3 hours of work, it charges $75. Using the given data the one time fee can be solve:

75 = 3(15) + b

b = 30

so the equation of the line

y = 15 x + 30

so the charge for 10 hrs is equal to $180