Algebra Problem 36
Extra Money

Seve and Jillian Vicaro want to make some money over the spring break from school.  They ask their parents to let them work around the house to earn the money.  Their parents agree, since Jillian and Seve are saving to buy graphing calculators.  Dad tells Jillian that he will give her a starting bonus of $10, and then pay her $5 an hour for the work she does around the house.  Mom offers Seve a slightly different deal.  She will give him $40 to start, but only $3 an hour.

Write two separate equations, one for Jillian and one for Seve, expressing how much money each has earned (including their starting money) in terms of time worked.  (Use x for the number of hours worked and y for the amount earned.)

Graph both equations on the same set of axes.  (Be sure you know which graph is for which person).

If the graphing calculator costs $72, who will be able to buy one with the least work time?

If the graphing calculator costs $100, who will be able to buy one with the least work time?

At what price must the calculator sell in order for Jillian and Seve to earn that amount with the same number of hours of work?


Math Scoring Guide
Download the Oregon Math Scoring Rubric 

Name: ________________________ Period: ____
Teacher: ______________________

Date: ___/____/___

CU - Conceptual Understanding 1 2 3 4 5 6

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PS - Processes & Strategies 1 2 3 4 5 6

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V - Verification 1 2 3 4 5 6

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C - Communication 1 2 3 4 5 6

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ACC - Accuracy 1     4 5  

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___ May be revised and returned for an improved score.