Question

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

Answer 1

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.

Answer 2

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.