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Kendall just became a personal trainer and is finalizing her pricing plans. One plan is to charge $37 for the initial consultation and then $33 per session. Another plan is to charge $101 for the consultation and $32 per session. Kendall realizes that the two plans have the same cost for a certain number of sessions. How many sessions is that? What is that cost?

Respuesta :

Answer:

The 2 Plan will have same cost of $2149 after 64 sessions.

Step-by-step explanation:

Given;

Let the Two plan be Plan A and Plan B.

Also let the number of session be [tex]x[/tex]

According to given detail

Plan A = [tex]\$37+33x[/tex]

Plan B =[tex]\$101+32x[/tex]

We need to find the value of when both are equal.

Plan A = Plan B

[tex]\$37+33x[/tex] = [tex]\$101+32x[/tex]

Solving above equation we get;

[tex]33x-32x=101-37\\x=64[/tex]

Number of session are 64.

Cost after 64 session will be,

Plan A = [tex]\$37+\$33x=\$37+\$33\times 64 = \$37+\$2112 = \$2149[/tex]

Plan B =[tex]\$101+\$32x=\$101+\$32\times 64 = \$101+\$2048 = \$2149[/tex]

Hence The 2 Plan will have same cost of $2149 after 64 sessions.

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