Question

pg 14.

A gym has a gym membership for $25 plus $5 per visit.

The equation y = 5x + 25 represents this problem

y = total cost and x = number of visits per month.

Your budget is $100 (so y = $100)

How many times can you visit without exceeding your $100 budget?


Visits
($) Cost
0
$25
1

Answer 1

To find out how many times you can visit the gym without exceeding your $100 budget, you can use the equation you provided:

\[ y = 5x + 25 \]

Here:
- \( y \) is the total cost,
- \( x \) is the number of visits.

Since your budget is $100, we will set \( y = 100 \) and solve for \( x \):

\[ 100 = 5x + 25 \]

Now, subtract 25 from both sides:

\[ 100 - 25 = 5x \]

\[ 75 = 5x \]

Next, divide both sides by 5:

\[ x = \frac{75}{5} \]

\[ x = 15 \]

So, you can visit the gym **15 times** without exceeding your $100 budget.

You can summarize the visits and costs in a table as follows:

| Visits (x) | Cost ($y) |
|------------|-----------|
| 0 | $25 |
| 1 | $30 |
| 2 | $35 |
| 3 | $40 |
| 4 | $45 |
| 5 | $50 |
| 6 | $55 |
| 7 | $60 |
| 8 | $65 |
| 9 | $70 |
| 10 | $75 |
| 11 | $80 |
| 12 | $85 |
| 13 | $90 |
| 14 | $95 |
| 15 | $100 |

This table shows the cost associated with each visit up to the maximum of 15 visits.