Question

35. Sam can join a gym for $25.00 per month or
for a flat rate of $500.00. What is the minimum
number of months Sam would have to be a gym
member to make the flat rate a better choice?

Answer 1

Answer:

21 months

Step-by-step explanation:

1 month: $25.00 2 month: $50.00 3 month: $75.00 4 month: $100.00 5 month: $125.00 6 month: $150.00 7 month: $175.00 8 month: $200.00 9 month: $225.00 10 month: $250.00 11 month: $275.00 12 month: $300.00 13 month: $325.00 14 month: $350.00 15 month: $375.00 16 month: $400.00 17 month: $425.00 18 month: $450.00 19 month: $475.00 20 month: $500.00 21 month: $525.00

By the 21st month, Sam would have paid $525 making the flat fee a better choice.

Answer 2

Answer:

Twenty-First Month

Step-by-step explanation:

1. $25

2. $50

3. $75

4. $100

5. $125

6. $150

7. $175

8. $200

9. $225

10. $ 250

11. $275

12. $300

13. $325

14.$350

Now we know that every 4 months it will cost her $100.

That means in 20 months it will cost Sam $500 (Same as Flat Rate)

But we need to make Flat Rate worth it so in 21 months it will cost Sam $525 making Flat Rate a better choice.