Question

Use the following information to solve #4- #6. Jack works after school. Each day he earns a set amount, plus an hourly wage. The following table represents a linear function Jack can use to determine his pay.

Hours: 1, 2, 3
Pay: 18, 28, 38
What is the slope of the linear function?
a) m = 10
b) m = 5
c) m = 20
d) m = 15

Answer 1

The slope of the linear function is 55 (option b).

Step-by-step explanation:

The independent variable is the hours worked on a car, and the dependent variable is the total labor charges to fix a car. The equation representing the linear relationship is y = 55x + 75, where y is the total charge and x is the number of hours required. The slope of the linear function is 55, which represents the hourly rate, and the intercept is 75, which represents the flat fee.

Therefore, the slope of the linear function is 55 (option b).