Question

the equation of the line of best fit is as shown below.

( y = \frac { 12 } { 5 } x + 4 )

what does the ( y )-intercept of the line represent?

( \bigcirc )a. the cost of renting bowling shoes

( \bigcirc )b. the total cost of bowling

( \bigcirc )c. the number of games bowled

( \bigcirc )d. the cost per game of bowling

Explanation:

In the equation \( y=\frac{12}{5}x + 4 \) (in slope - intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the \( y \) - intercept). Here, \( x \) represents the number of games. When \( x = 0 \) (i.e., no games are bowled), \( y=4 \). In the context of bowling cost (\( y \) is cost and \( x \) is number of games), when no games are played, the cost is the fixed cost. Renting bowling shoes is a fixed cost (does not depend on the number of games). The slope \(\frac{12}{5}\) would be the cost per game (since it is multiplied by the number of games \( x \)). The total cost \( y \) is given by the entire equation \( y=\frac{12}{5}x + 4 \). The number of games is \( x \).

Answer:

A. the cost of renting bowling shoes