Question

Pluto is looking into joining a gym. He has a budget of $68 per month. The gym he wants to join has fees based on the number of visits. The inequality to find out how many visits, v, to the gym he can make each month is represented by 7v ≤ 68. Pluto figures out that he can visit the gym 10 times with his current budget. Is this solution viable? Explain.

Answer 1

7(10 visits) ≤ 68
70 ≤ 68
Not Viable


7(9 visits) ≤ 68
63 ≤ 68
Viable


The first solution is not viable because 10 visits will give a total cost of $70 per month, which is $2 over his monthly budget of $68.

The second solution is viable. He could visit the gym a maximum of 9 times per month for a total of $63 a month and that will be under his $68 monthly budget.

Hope this helps! :)