Question

69. REAL-WORLD APPLICATIONS

A gym membership with two personal training sessions costs $125, while gym membership with five personal training sessions costs $260. What is cost per session?

Answer 1

Cost of per session the average rate is $45.

Explanation:

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

It is required to find what is the cost per session.

Step 1 of 1

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

To find the cost of per session calculate the average rate.

Now let $f(x)$ be the cost per session use the for the average rate of change, and the input value is the number of personal traings x.

`$m=(f\left(x_(2)\right)-f\left(x_(1)\right))/(x_(2)-x_(1))$$`

Now substitute, $125 for
`$f\left(x_(2)\right)`, 260 for
`$f\left(x_(1)\right), 2$` for
`$x_(1)$` and 5 for
`$x_(2)$` then,

`$m=(260-125)/(5-2)$\$$\begin{aligned}&=(135)/(3) \\&=45\end{aligned}$$`

Cost of per session the average rate is $45.