Question

Summer Swim charges a $45 membership fee and $3.50 each time you visit their pool. Super Swimmers charges $6.50 each time you visit their pool with no membership fee.

a. For what number of visits will both swim clubs charge the same amount? Justify your answer using mathematics.

visits:____

b. You anticipate that you will visit the pool about 32 times this summer. Which Swim Club should you choose if you want to spend the least amount of money? Justify your answer using mathematics.

(Type Summer Swim or Super Swimmers) :______

Answer 1

A) 15

B) Summer Swim

Explanation:

How to solve problem "A":

45+3.50x =6.50x

Take 3.50 from each side.

6.50-3.50=3

45=3x

Now you divide 45 divided by 3.

45/3=15

So after 15 visits, you'll be charged the same amount.

6.50 (15)=97.5

3.50 (15)+45= 97.5

So it's definitely correct.

_________________________________________________________

How to solve problem "B":

All we have to do is plug 32 into "x"

Equation 1: 45+3.50(32)= 157

Equation 2: 6.50 (32)=208

So equation 1 definitely is cheaper. So it's the Summer Swim that's cheaper

I hope this helps!!!