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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?

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MissPhiladelphia

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:

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:

[tex]15(3)+b=75[/tex]; where b is the unknown fixed fee.

Solving for b:

[tex]b=75-45=30[/tex]

With this result, the explicit linear equation would be:

[tex]y=15x+30[/tex]; where x is hours and y is the total cost.

For 10 hours would be:

[tex]y=15(10)+30=150+30=180[/tex]

Therefore, for 10 hours the charge is $180.

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