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.

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

D. Yookyung charges $5 before she begins babysitting.

∞ this is your sign

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4