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A sports centre offers two membership plans for using the facilities:
Plan A:
A joining fee of \(\dollar\)50 plus \(\dollar\)10 per visit.
Plan B:
An unlimited pass with a fixed fee of \(\dollar\)125 (no cost per visit).
Let \(n\) be the number of visits.
Write a linear model \(C_A(n)\) for the cost of Plan A and a model \(C_B(n)\) for Plan B.
Calculate the cost of both plans for 5 visits.
Find the number of visits for which the total cost is the same for both plans.
Which subscription is the best option if you plan to visit the centre 10 times?
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