Question

1. the typical price to see a popular movie in the us is $21.24 and can vary as much as $3.25 above or below this price. write a model and indicate the range of prices for a movie ticket.

Explanation:

Step1: Define the variable

Let \( x \) be the price of a movie ticket.

Step2: Determine the range

The typical price is $21.24, and it can vary by as much as $3.25 above or below. So the lower bound is \( 21.24 - 3.25 \) and the upper bound is \( 21.24 + 3.25 \).
Calculating the lower bound: \( 21.24 - 3.25 = 17.99 \)
Calculating the upper bound: \( 21.24 + 3.25 = 24.49 \)
So the model for the price range is \( 17.99 \leq x \leq 24.49 \)

Answer:

The price range of a movie ticket is modeled as \( 17.99 \leq x \leq 24.49 \) where \( x \) is the price of a movie ticket.