Question

a school club sells slushies to raise money. they start with $50 in their treasury, and earn $3 for each slushy sold. write a linear function rule that represents the total amount of money they have, y, after x slushies are sold. slope-intercept form y = mx + b y = ?x +

Explanation:

Step1: Identify the slope (m)

The slope \( m \) represents the rate of change. Here, they earn $3 for each slushy sold, so \( m = 3 \).

Step2: Identify the y - intercept (b)

The y - intercept \( b \) is the initial amount of money. They start with $50, so \( b = 50 \).

Step3: Write the linear function

Using the slope - intercept form \( y=mx + b \), substitute \( m = 3 \) and \( b = 50 \). So the function is \( y = 3x+50 \).

Answer:

For the coefficient of \( x \) (the slope - related part), the value is \( 3 \), and the constant term (y - intercept) is \( 50 \). So the linear function rule is \( y = 3x + 50 \). In the given form \( y=[3]x + 50 \).