Question

you get two movies free, but then you get charged at a fixed amount per movie.
x = the number of movies seen.
y = the total money spent in dollars.

Explanation:

Step1: Analyze the scenario

We have two free movies, so for \( x = 0,1,2 \), the total money spent \( y = 0 \) (since no charge for these two). After \( x>2 \), we get charged a fixed amount per movie, so \( y \) should increase linearly with \( x \) (as each additional movie after 2 has a fixed cost).

Step2: Evaluate each graph

• Graph A: It shows a decreasing line, which doesn't match (we expect no decrease in cost as movies increase after 2).
• Graph B: It has a flat part and then a decrease, which is not consistent with a fixed charge per movie after 2.
• Graph C: It starts with a non - zero \( y \) when \( x = 0 \), but we should have \( y = 0 \) for the first two movies, so this is incorrect.
• Graph D: For \( x = 0,1,2 \), \( y = 0 \) (starts at the origin and then rises after \( x = 2 \)), which matches our analysis of two free movies and then a linear increase in cost per additional movie.

Answer:

D