Question

A bowling alley charges its customers an hourly rate to bowl plus shoe rental. The hourly rates are per lane. A linear model of this situation contains the values (2, 34) and (3, 49.25), where x represents the number of hours bowled on one lane, and y represents the total cost for bowling. What is the rate of change in this linear model?

Answer 1

Answer:

The rate of change for the linear model = 15.25

Step-by-step explanation:

Given:

A linear model where $x$ represents number of hours bowled on one lane and $y$ represents the total cost of bowling.

$(2,34)$

This point shows that the cost of bowling for 2 hours = $34

$(3,49.25)$

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 $m$ using the given points.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{49.25-34}{3-2}$

$m=\frac{15.25}{1}$

$m=15.25$

∴ 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.