Answer:
The rate of change for the linear model = 15.25
Step-by-step explanation:
Given:
A linear model where [tex]x[/tex] represents number of hours bowled on one lane and [tex]y[/tex] represents the total cost of bowling.
[tex](2,34)[/tex]
This point shows that the cost of bowling for 2 hours = $34
[tex](3,49.25)[/tex]
This point shows that the cost of bowling for 3 hours = $49.25
To find the rate of change in the given model we need to find the slope of the line [tex]m[/tex] using the given points.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{49.25-34}{3-2}[/tex]
[tex]m=\frac{15.25}{1}[/tex]
[tex]m=15.25[/tex]
∴ the rate of change for the linear model = 15.25
This shows that the bowling alley charges its customers an hourly rate of $15.25.
