Question

Janie charges $8 an hour to babysit with an additional flat fee of $15 for each babysitting job. She wants to purchase a new game system that will cost her $139.40.
Write an inequality to show the least number of complete hours she needs to babysit to purchase the game system if she has one job scheduled.

Solve the inequality that you created in Part A.

Janie is considering changing her rate to $12.00 an hour with no flat fee. What effect would this change have on the hours that Janie needs to work to buy the gaming system?

What conclusions can you draw about Janie charging the flat fee and not charging the flat fee?

Answer 1

First 8x15=

$120

139.40-120=

$19.40 left.

Answer 2

Answer:

Charges of $12 per hour is a better option than $8 an hour to babysit with an additional flat fee of $15

Step-by-step explanation:

Given: Janie charges $8 an hour to babysit with an additional flat fee of $15 for each babysitting job. She wants to purchase a new game system that will cost her $139.40.

To Find: Write an inequality to show the least number of complete hours she needs to babysit to purchase the game

Solution:

Let say the number of hrs  = t

Charges = 8t + 15

Charges  ≥  new game system cost

=> 8t + 15   ≥  139.40

=>  8t   ≥  124.40

=> t  ≥  15.55

=> t = 16

minimum 16 hrs job

Janie is considering changing her rate to $12.00 an hour with no flat fee.

Charges = 12t

12t  ≥  139.40

=> t  ≥  11.62

=> t = 12

minimum 12 hrs job  

charges of $12 per hour is a better option than $8 an hour to babysit with an additional flat fee of $15