## The table shows the amount of money Yookyung charges customers to babysit. The table represents a linear function. T

Question

The table shows the amount of money Yookyung charges customers to babysit. The table represents a linear function.

Time (h) 0 2 5 7 8
Charge (\$) 5 19 40 54 61

What does the initial value mean for this function?

A. Yookyung charges \$7.00 an hour to babysit.

B. Yookyung earns \$40 for 5 hours of work.

C. Yookyung does not charge her customers until she has babysat for a minimum of 2 hours.

D. Yookyung charges \$5 before she begins babysitting.

0

1. For this case we have a function of the form:

y = mx + b

Where,

m: slope of the line

b: cutting point with the y axis.

In the context of the problem we have:

The slope of the line is the charge per hour that Yookyung charges for babysit.

The cutoff point with the y-axis is an initial fee that Yookyung charges before starting work.

The cut point with the y axis occurs when x = 0.

Therefore, observing the table we have:

b = 5