SOLUTION: Kayla works a total of 40 hours each week at two part-time jobs. She works at a restaurant and earns $12 per hour and as a freelance blog editor where she earns $19 per hour. a)

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Question 1196807: Kayla works a total of 40 hours each week at two part-time jobs. She works at a restaurant and earns $12 per hour and as a freelance blog editor where she earns $19 per hour.
a) Write a function f that inputs the number of hours Kayla works at the restaurant (x) and outputs the number of hours she can work as a freelance blog editor.
f(x)=?

b) Write a function g that inputs the number of hours she worked as a freelance blog editor (n) in a week and outputs the total amount of money she made from editing that week (in dollars).
g(n)=?

c) Which composite function produces values with a real-world meaning in this context? f∘g or g∘f?
d) Write the formula that defines the composite function you selected in part (c).
g(f(x))=?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Kayla works a total of 40 hours each week at two part-time jobs. 
She works at a restaurant and earns $12 per hour 
and as a freelance blog editor where she earns $19 per hour.

a) f(x) = 40-x   |imput x(hours at restaurant), output number of hours as an editor
b) g(n) = $19n    |imput n(hours as editor), output money as an editor in terms of n

c) g∘f     | Output would be money earned as editor in terms of x (hours at restaurant)

d) g∘f = $19(40-x)