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12 June, 06:39

A gym charges a $615 yearly fee for membership plus $50 for each hour of personal training. What is the average total cost per hour of training if a member works with a personal trainer for 30 hours in a year? Do not include the dollar sign ($) in your answer.

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  1. 12 June, 09:26
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    The average total cost per hour of training is $70.5

    Step-by-step explanation:

    The form of the linear function is f (x) = m x + b, where

    m is the average rate b is the initial value

    ∵ The gym charges a $615 yearly fee for membership plus

    $50 for each hour of personal training

    - That means the initial amount is 615 and the average rate is 50

    ∴ m = 50 dollars per hour

    ∴ b = 615 ⇒ fixed fee

    - Substitute m and b in the form of the linear function

    ∴ c (x) = 50 x + 615, where c (x) is the cost per year for x

    training hours

    ∵ A member works with a personal trainer for 30 hours in a year

    - That means x = 30

    ∴ x = 30

    - Find the total cost of this year by substituting x by 30

    ∴ c (30) = 50 (30) + 615

    ∴ c (30) = 1500 + 615

    ∴ c (30) = 2115

    ∴ The total cost of this year is $2115

    To find the average cost per hour divide the total cost by the number of the training hours

    ∵ Average cost per hour = 2115 : 30

    ∴ The average cost per hour = 70.5 dollars

    ∴ The average total cost per hour of training is $70.5
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