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

Answers ( No )

    0
    2021-11-15T15:06:49+00:00

    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

    Answer:

    D. Yookyung charges $5 before she begins babysitting.

    0
    2021-11-15T15:06:51+00:00

    Any linear function can be written in the form y=mx+b

    Here m represents the slope or we can say the difference of y over difference of x. b is the point where the graph touches the y axis .On y axis x=0 so b is the y value when x=0. The given table represents the amount of money Yookyung charges customers to babysit .

    The initial value of the table is Time =0 then corresponding charge =$5

    That is if Yookyung has not started the babysit as time is 0 the corresponding charge is $5 .

    Option D. Yookyung charges $5 before she begins babysitting is true in this case.

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