Question

this situation can be modeled as a linear relationship.
complete the statement that describes the situation.
the booster club raised at the car wash. the club will raise for every cupcake it sells.

Explanation:

Step1: Find the y-intercept (initial amount)

The y-intercept is the value of \( y \) when \( x = 0 \) (cupcakes sold = 0). From the graph, when \( x = 0 \), \( y=\$120 \). So the booster club raised \$120 at the car wash (initial amount).

Step2: Calculate the slope (rate per cupcake)

The slope \( m \) of a line is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let's take two points: (0, 120) and (40, 200). Then \( m=\frac{200 - 120}{40 - 0}=\frac{80}{40} = 2 \). So the club raises \$2 for every cupcake sold.

Answer:

The booster club raised \$120 at the car wash. The club will raise \$2 for every cupcake it sells.