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?

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

Answer Link

jajumonac jajumonac · Answer 2 · 2019-12-15T21:28:45-05:00

Answer:

10 hours costs $180.

Step-by-step 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:

@@MATH_TOKEN_0@@; where b is the unknown fixed fee.

Solving for b:

@@MATH_TOKEN_1@@

With this result, the explicit linear equation would be:

@@MATH_TOKEN_2@@; where x is hours and y is the total cost.

For 10 hours would be:

@@MATH_TOKEN_3@@

Therefore, for 10 hours the charge is $180.