Question

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Latoya charges for x hours of tutoring are modeled with the function shown.
Who will charge more for 5.5 hours, Oscar or Latoya? How much more?


Who?

How much more?

Answer 1

Answer:

Layota

$47.5

Step-by-step explanation:

Let number of hours = x

Given that:

Oscar's charges :

First hour = $25

Additional hours = $15

Thus :

Total charge : 25 + 15(x - 1)

The piece wise equation given for Layota's charge rate :

First 3 hours = $30

Next 3 hours = $20

Hours greater Than 6 = $10

If total hours ; x = 5.5 hours

Oscar :

$25 + $15(5.5 - 1)

$25 + $15(4.5)

$25 + $67.5

= $92.5

Layota:

First 3 hours :

$30 * 3 = $90

Hours left :

$20 * (5.5 - 3)

$20 * 2.5 = 50

Total = $90 + $50 = $140

Layota charges more : 140 > 92.5

Difference :

$140 - $92.5

= $47.5