Answer:
Yes, the relationship is proportional.
Explanation:
The definition of a proportional relationship is when the ratios are constant. (It remains the same)
So, for every hour the babysitter makes 7.50, making the ratio of $/h 7.50/1.
For 2 hours, the ratio fo $/h would be 15/2.
15/2 simplifies to 7.50/1, so the ratio would be the same.
Therefore, the relationship is proportional.
Another easier way to find a proportional relationship is if there's no addition of subtraction in the equation. (If the babysitter starts off with a base rate then gets extra money every hour, it's not proportional).
Example: A babysitter is paid $5, then gets $2 for every hour.
The ratios of $/h would be 7/1 and 9/2, which aren't the same, making that not proportional.