Question

A student pays a one time fee to join a gym plus a monthly membership fee. The table show the total cost the student pays for various months since joing the gymNumber of Months Total Cost 1 $322 $445 $807 $104What statement is trueA. The cost of the monthly membership is $12B.The cost of the monthly membership is $32C. The cost of the monthly membership is $80D. The cost of the monthly membership is $20

Answer 1

The cost of the monthly membership is $12

Step-by-step explanation:

Let the total cost be C

Let the one time paid amount be x

Let the monthly membership fee be y

Let the number of months be m

The algebraic expression is written as

C = x + ym

C = one time paid amount + monthly membership fee x number of months

For month 1, the total cost is $32

The expression is

32 = x + y(1)

32 = x + y --------------------- equation 1

For m = 2, Total cost = $44

44 = x + 2(y)

44 = x + 2y -------------------- equation 2

The systems of equation can be solve simultaneously

x + y = 32 ------------------ equation 1

x + 2y = 44 ---------------- equation 2

We will be using substitution method

Make x the subject in equation 1

x + y = 32

x = 32 - y

Substitute the value of x in equation 2

32 - y + 2y = 44

Collect the like terms

-y + 2y = 44 - 32

y = $12

Since, y is monthly membership fee

Therefore, the cost of the monthly membership is $12 the cost of the monthly membership is $12