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?

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 detailPlan 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.