Final answer:
To find the number of rides, r, Padima can go on, we need to determine the maximum number of rides she can afford with her budget. The inequality that can be used to find the number of rides, r, Padima can go on is r ≤ 5.
Step-by-step explanation:
To find the number of rides, r, Padima can go on, we need to determine the maximum number of rides she can afford with her budget.
Given that the entrance fee is $3.75 and each ride costs $3.25, we can represent the cost of the entrance fee and the rides Padima can go on as:
- Entrance fee: $3.75
- Cost of rides: $3.25r, where r is the number of rides
To find the maximum number of rides, r, we need to solve the inequality:
$20 - $3.75 - $3.25r ≥ 0
Simplifying this inequality, we have:
$16.25 - $3.25r ≥ 0
To isolate the variable, we can subtract $16.25 from both sides:
$16.25 - $16.25 - $3.25r ≥ -16.25
This gives us:
- $3.25r ≥ -16.25
Now, we can divide both sides of the inequality by -3.25 (remember to reverse the inequality sign when dividing by a negative number):
r ≤ 5
Therefore, the inequality that can be used to find the number of rides, r, Padima can go on is r ≤ 5.