Question

Laney and Maka are tutors. Laney charges $10 for travel expenses plus $32 per hour of tutoring. The dollar amount Maka charges can be modeled by the equation F=30h+14, where h represents the number of hours that Maka tutors and F represents the total amount earned. What is the difference in the total amount Laney and Maka each charge for 4 hours of tutoring?

Answer 1

Answer: Total amount earned by Laney in 4hour=$138

Total amount earned by Maka in 4hours=$134

Difference =$4

Step-by-step explanation:

Since

Maka charges can be modeled by the equation F=30h+14,

where h =number of hours that Maka tutors

F = the total amount earned. Following same model

With 14 being the charge in dollar for travel expenses.

Laney charging $10 for travel expenses plus $32 per hour of tutoring can also be represented as

F= 32h +10

Such that total amount earned by

Maka in 4hours gives

F=30h+14

F=30x4 +14

F=120+14=$134

In the same vein the total amount earned by Laney in 4hours gives

F=32h+10

F= 32x4+10

F=128+10=$138

The difference in money earned by Laney and Maka = $138-$134= $4