SOLUTION: Hello Online Tutors! Here's my question: Wendy babysits for the Crest family every Saturday night. She charges $10 per hour for the first 4 hours and 50% more for time after the

Question 1110467: Hello Online Tutors!
Here's my question:
Wendy babysits for the Crest family every Saturday night. She charges $10 per hour for the first 4 hours and 50% more for time after the first 4 hours. She is paid the full hourly rate for any part of an hour she works. Wendy's parents do not let her babysit for more than 8 hours. Draw a graph showing how much money Wendy can earn.
I know that this will be a step function, but I'm not that sure what to take 50% of.
Thank you to anyone that can help!
Amelia B.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

The coordinate system has "hours" as the horizontal axis and "earned dollars" as vertical axis.


The plot of the accumulated Wendy' salary consists of two straight line segmemts.


One segment, at  0 <= t <= 4 hours, is the straight line going from (0,0) with the slope of 10/1 per hour.


It comes to the point  (t,Salary) = (4,40).


The second segment starts from this point (4,40) and going to the right and up with the slope 15/1.

RELATED QUESTIONS
write an equation representing the amount a babysitter charges,c,if she charges $10 for... (answered by addingup)

How long will it take Bonita to save $1,000 for a down payment on a car if she makes $40 (answered by math_tutor2020)

As a part-time job Andrea babysits. She charges $4 per hour and $5 for gas money. Write... (answered by FrankM)

Kristina makes $8.50 per hour. She makes double time for every hour that she works on... (answered by rfer)

Hello Online Tutors! Hope everyone has been enjoying the snow in the East! Here's my... (answered by KMST)

I hate word prolems so much, and I can't figure this one out for my life. Here it is. A... (answered by scott8148,Edwin McCravy)

Andrea charges $4 per hour and $5 for gas money. Write and equation that could be used... (answered by John10)

Hello Online Tutors! Here's my question Express in simplest form: (4x/2x-5)+(10/5-2x) (answered by Alan3354)

Hello Online Tutors! Here's my question: If a5=100 and a11=10 are the two terms of an... (answered by ikleyn)