Answer:
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
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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