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.