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.

Based on the number of hours and the cost per hour of using the trainer, the average cost per hour is $70.50 per hour.

First find the total cost of using a trainer for 30 hours.

= Fixed membership cost + (Cost per hour x Number of hours)

= 615 + (50 x 30)

= $2,115

The total cost for the year is $2,115.

The average cost per hour will be:

= Total cost / Number of hours

= 2,115 / 30

= $70.50

In conclusion, the total average cost per hour is $70.50.

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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

∵ 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