To find the rate of change in a linear model, we need to determine the slope of the line. The slope is given by the formula:
slope = (change in y) / (change in x)
Using the provided values, we can calculate the change in y and the change in x as follows:
change in y = 59.25 - 41 = 18.25
change in x = 3 - 2 = 1
Now we can calculate the slope:
slope = (18.25) / (1) = 18.25
Therefore, the rate of change in this linear model is $18.25 per hour.
The correct answer is D. $18.25 per hour.
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, 41) and (3, 59.25), 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?
A.
$36.50 per hour
B.
$4.50 per hour
C.
$9.12 per hour
D.
$18.25 per hour
1 answer