Question

The price of everything in the store is reduced by 1/4 each hour until closing time. Liz wants to purchase a shirt that was originally marked at 24$. You can use a function to describe the shirts price x hours after the sale starts.

Answer 1

To describe the price of the shirt x hours after the sale starts, we can use the following function:

P(x) = 24 * (3/4)^x

In this function, P(x) represents the price of the shirt x hours after the sale starts.

Here's how the function works:
- The original price of the shirt is $24.
- Each hour, the price decreases by 1/4 (or 25%) of its current value.
- So, after the first hour, the price will be 24 * (3/4) = $18.
- After the second hour, the price will be 18 * (3/4) = $13.50.
- This process continues for each subsequent hour.

Using the function P(x) = 24 * (3/4)^x, you can substitute any value of x (representing the number of hours since the sale started) to find the corresponding price of the shirt at that time.