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.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b