Question

Michael just became a personal trainer and is finalizing his pricing plans. One plan is to charge $36 for the initial consultation and then $92 per session. Another plan is to charge $86 for the consultation and $42 per session. Michael realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?

Answer 1

The cost will be same for one session. The cost will be $128.

Step-by-step explanation:

Given,

Initial consultation charges for Plan One = $36

Per session fee = $92

Let,

x be the number of sessions.

O(x) = 92x+36

Initial consultation charges for Plan Two = $86

Per session fee = $42

T(x) = 42x+86

For same cost;

O(x) = T(x)

$92x+36=42x+86\\92x-42x=86-36\\50x=50$

Dividing both sides by 50

$\frac{50x}{50}=\frac{50}{50}\\x=1$

Putting x=1 in T(x)

$T(1)=42(1)+86\\T(1)=42+86\\T(1)=128$

Putting x=1 in O(x)

$O(x) = 92(1)+36\\O(x) = 92+36\\O(x) = 128$

The cost will be same for one session. The cost will be $128.

Keywords: function, division

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