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.
a
b
c
d

Explanation:

Step1: Analyze the scenario

We know that for \( x \) (number of movies) from \( 0 \) to \( 2 \), \( y \) (total money spent) should be \( 0 \) because the first two movies are free. After \( x = 2 \), for each additional movie, \( y \) increases by a fixed amount (linear relationship).

Step2: Evaluate each graph

• Graph A: For \( x \) from \( 0 \) to some value (around 2), \( y = 0 \), and then it has a linear increase. This matches our scenario.
• Graph B: It shows a step - like function with discrete jumps, not a linear increase after the first two movies. So it does not match.
• Graph C: It has a non - zero \( y \) value when \( x = 0 \), which is incorrect because we start with 0 cost for the first two movies.
• Graph D: It has a peak and then a decrease, which does not match the scenario of a fixed cost per movie after the first two are free.

Answer:

A