Answer:
A SAT score increases at rate of 2.5% for every hour of study.
Explanation:
An exponential equation would be appropriate to model the first situation:
A SAT score increases at rate of 2.5% for every hour of study.
An exponential equation can model a situation where the rate of change of a quantity depends on the quantity itself. In this case, the SAT score increase (the rate of change) depends on the current SAT score (the quantity itself). The 2.5% increase applies to the current SAT score, so the increase will grow larger as the SAT score gets larger.
The other situations would be modeled by:
A store has a sale on clothing that is 2 shirts for $20.
- A linear equation, with a constant cost per shirt ($20 divided by 2 shirts)
The temperature in the evening decreases 10 to 15 degrees every hour.
- A linear equation, with a constant rate of decrease (10 to 15 degrees) per hour
A music festival allows 60 people to enter every 25 minutes.
- A linear equation, with a constant rate of 60 people every 25 minutes
Therefore, of the options given, only the SAT study situation can be appropriately modeled with an exponential equation.