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azamat
3 years ago
15

Kendall just became a personal trainer and is finalizing her pricing plans. One plan is to charge $37 for the initial consultati

on 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?
Mathematics
1 answer:
Veronika [31]3 years ago
8 0

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 x

According to given detail

Plan A = \$37+33x

Plan B =\$101+32x

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

Plan A = Plan B

\$37+33x = \$101+32x

Solving above equation we get;

33x-32x=101-37\\x=64

Number of session are 64.

Cost after 64 session will be,

Plan A = \$37+\$33x=\$37+\$33\times 64 = \$37+\$2112 = \$2149

Plan B =\$101+\$32x=\$101+\$32\times 64 = \$101+\$2048 = \$2149

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

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