Final grade of my semester!

fitness plan 1: members pay $4 for every visit and no membership fee. fitness plan 2: members pay 2$ for every visit and a monthly membership fee of $24

explain how you found a break-even point in complete sentences

12 visits is the BREAK EVEN POINT of two fitness plans.

Step-by-step explanation:

BREAK EVEN: A point is said to be break even in which, there is NO GAIN and NO LOSS.

Let us assume after m visits, he break even point is achieved.

Now, here at Fitness plan 1:

The charge per visit = $ 4

So, the total charge for m visit  = m x ( Cost per visit) = m ( $4)  = 4 m

So, Fitness plan 1 costs (4 m) for m visits.

Now, here at Fitness plan 2:

The charge per visit = $ 2

Member ship fee = $24

So,  charge for m visit  = m x ( Cost per visit) = m ( $2)  = 2 m

Now,the total = Member ship fee + Fees for m visit  = $24 +  2 m

So, Fitness plan 2 costs (24 + 2 m) for m visits.

Now, for break even, For m visits, BOTH PLAN COSTS SAME:

⇒4  m = 24  +  2 m

or, 2 m = 24

or, m= 24/2  = 12

or, m = 12

or, after 12 visits, the both Plan will cost same amount,

Hence, 12 visits is the BREAK EVEN POINT of two fitness plans.

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step-by-step explanation:

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