Question

Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the​ same? Yoga Studio A: Membership: $24.00 Monthly Fee: 21.50. Yoga Studio B: Membership: $41.00 Monthly Fee: $17.25

Answer 1

Answer:

14.02

Step-by-step explanation:

You'd have to write equations for the price per month for each club.

Let  x  equal the number of months of membership, and  y  equal the total cost.

Club A's is  y = 24x + 21.50 and Club B's is  y = 17.25 x + 41.00 Because we know that the prices,  y , would be equal, we can set the two equations equal to each other.

24x + 21.50 =17.25 x+ 41.00

subtract 21.50 both sides

. We can now solve for  x  by isolating the variable.

24x=17.25x+19.5

divide 17.25x

1.39x=19.5

divide 1.39 both sides

x=14.02

After five months, the total cost would be the same.

Answer 2

In 4 months, the total cost of Yoga Studio A would equal that of Yoga Studio B

The cost of Yoga Studio A at any given month can be represented as:

= Membership fee + (Monthly fee x Number of months)

Assuming number of months is x, the formula would be:

= 24 + (21.50 × x)

= 24 + 21.50x

Yoga Studio B would be:

= 41 + (17.25 × x)

= 41 + 17.25x

In order to find the month that these costs would be equal, equate both formulas:

24 + 21.50x = 41 + 17.25x

21.50x - 17.25x = 41 - 24

4.25x = 17

x = 17 / 4.25

x = 4 months

In conclusion, their costs would be the same in the 4th month.

Find out more at https://brainly.com/question/21586729.