Final answer:
Jennifer needs to go on 13 rides for both options to cost the same. At this number of rides, both options will cost her $38.
Step-by-step explanation:
To find out the number of rides for which both options cost the same, we need to set up an equation where the cost of the first option (unlimited rides for $38) equals the cost of the second option (admission plus $2 per ride). Let the number of rides Jennifer plans to go on be represented by 'r'.
Using the given information, the equation will be:
38 = 12 + 2r
We solve for 'r' as follows:
- Subtract 12 from both sides: 38 - 12 = 2r
- This simplifies to: 26 = 2r
- Divide both sides by 2 to find 'r': 13 = r
So, when Jennifer goes on 13 rides, both options will cost her the same, which is $38.
Therefore, It will cost Jennifer $38 for both options if she goes on 13 rides.