Question

/e/1FAIpQLScdynkxRLOTHmzHty 4nBnPdnh-kkR7ob_RmshbuwxLSklavw/formResponseUse the following scenario to answer questions #4 and #5A membership at Gym A costs $100 to enroll and charges $15 per month. Gym B costs $20 to enroll andcharges $25 per month. Let x = the # of months and let y = the total cost. A system of equations to solvethis isy=100 + 15x and y = 20 + 25x,

Answer 1

4. We need to find the solution of the system of equations.

y=100 + 15x Eq(1)

y = 20 + 25x Eq(2)

Let's use the elimination method, first multiply the second equation by -1.

-y = -20 - 25x Eq(2) , Then add this form of Eq(2) to Eq(1)

+ y= 100 + 15x Eq(1)

---------------------------

0 = 80 - 10x , Then Isolate x

10 x = 80 Transposing 10 to the other side of the equation

x = 80 / 10 = 8

The answer is: After 8 months both gyms would have the same cost.

5. To find the cost, we need to find y variable. Since we know x= 8 , we can replace it in Eq(1)

y = 100 + 15*8

y = 220

The answer is: After 8 months both gyms would have a cost of $220.