Question

programs for their fans. the wild dogs program has an initial fee of $20 and a discounted single-game ticket price of $1.50. the rattlers program has an initial fee of $14 and a discounted ticket price of $2.25 per game. which linear equation represents the wild dogs program? let x represent the number of games and y the total cost.
○ $y = 20x + 1.5$
○ $y = 1.5x + 20$
○ $y = 2.25x + 14$
○ $y = 14x + 2.25$

Explanation:

Step1: Identify cost components

The total cost \( y \) has an initial fee (fixed) and a per - game cost (variable). For Wild Dogs, initial fee is $20 (fixed, so y - intercept), per - game ticket price is $1.50 (slope, since it depends on number of games \( x \)).

Step2: Recall linear equation form

The slope - intercept form of a linear equation is \( y=mx + b \), where \( m \) is the slope (rate of change) and \( b \) is the y - intercept (initial value). Here, \( m = 1.5\) (per - game cost) and \( b = 20\) (initial fee). So the equation is \( y = 1.5x+20 \).

Answer:

B. \( y = 1.5x + 20 \)