Question

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour counting as a whole hour.

The rates that Latoya charges for x hours of tutoring are modeled with the function shown.


f(x)=30x,0≤x≤3

20x,3 6

(Imagine this stuff above as a piecewise function)

Complete to make a true sentence.


____ will charge $ ____ more to tutor for 5.5 hours.

Answer 1

Answer and explanation:

Since Oscar charges $25 for the first hour and $15 for every additional hour or fraction of an hour, his function would be :

f(x)= 25x 0 is less than or equal to x and x is less than or equal to 1

Latoya charges $30 for the first three hours and $20 for every additional hour or fraction of an hour. The function :

f(x)= 30x

0 is less than or equal to x and x is less than or equal to 3

Given that each taught their students for 5.5 hours, their charges would be :

For Oscar,

The first hour = 25×1= $25

4.5 hours left= 15×4.5= $67.5

Total charge for 5.5 hours= $67.5+$25= $92.5

For Latoya,

The first three hours= 30×3=$90

2.5 hours left= 2.5×20= $50

Total charge for 5.5 hours= $90+$50= $140

Therefore Latoya will charge $47.5 more to tutor for 5.5 hours.