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A family want to hire a gardening service for their lawn. The company charges $9.50 for the first hour and $5.50 for each hour after. The equation below represents the cost of the service where (C) is the total cost and (h) is the number of hours. C = 9.50 +5.50 (h - 1). If the total time for the job is 8 hours, how much will the company charge the family?

A) $50

B) $54

C) $58

D) $62

User Juelz
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1 Answer

7 votes

Final answer:

Upon substituting 8 hours into the equation C = 9.50 + 5.50 (h - 1) and solving, the total cost for 8 hours of gardening service is calculated to be $48.00, which is not listed among the provided choices.

Step-by-step explanation:

The question asks us to determine the total cost (C) for a gardening service that charges $9.50 for the first hour and $5.50 for each subsequent hour. The provided equation is: C = 9.50 + 5.50 (h - 1), where h represents the number of hours. If the service is used for 8 hours, we can substitute h with 8 to get: C = 9.50 + 5.50 (8 - 1). Calculating the term in brackets first, (8 - 1) equals 7. Multiplying 7 by $5.50 gives us $38.50. Adding the first hour charge of $9.50 to this amount gives us a total cost of $48.00. Since this option is not provided in the choices, it seems there is an error in the selection provided within the question.

User B Williams
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