Jack and Lisa Project
Jack and Lisa both are saving for an Ipod which cost $210. They don’t share nicely so each person is
buying their own. Jack has already saved $20 and works as a medical assistant earning $10 per hour. Lisa
is broke and works as a surveyor technician making $15 per hour.
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i
A. Model each of Jack’s (j), Lisa’s ( ), and Ipod’s( ) situation in 3 separate t-charts in terms of
Savings (s).
a. Make sure you include all of the important numbers to model each situation for both
t-charts.
b. Label each side of the t-chart both in terms of quantities and the units for those
quantities. Also include the Variable’s used the indipendent quantity and the function
notation for the dependent quantity.
B. Write Jack and Lisa’s situation in function notation. Write an equation for the Ipod.
C. Graph all 3 situations on one graph.
a. Label each axis with the quantity and units.
b. Use a scale of counting by $10 for the savings axis.
D. Show the algebra and Substitution for solving for the following situations
a. Jack=Ipod
b. Lisa=Ipod
c. Jack=Lisa
Hint you might remember when I did Y1= Y2
Answer the following questions and Highlight where you find the answer to each in the (a) table,
(b)graph and (c)by solving algebraically for questions 1-3 You should color coordinate each question’s
answers. For example Highlight the answer to #1 in pink (3 different places), #2 in yellow, Etc.
1. When will Jack be able to buy an Ipod?
a. Write your answer in ordered pair form
b. Describe what the ordered pair means in terms of the problem (complete sentences)
2. When will Lisa be able to buy an Ipod?
a. Write your answer in ordered pair form
b. Describe what the ordered pair means in terms of the problem (complete sentences)
3. When will Jack and Lisa have the same amount of money?
a. Write your answer in ordered pair form
b. Describe what the ordered pair means in terms of the problem (complete sentences)
4. What is the rate of change for Jack and Lisa? What is the rate of change for Ipod?
5. What is the x-intercept and y-intercepts for Jack, Lisa and Ipod? (ordered pair form) and what do
they mean in terms of the problem?
6. Describe in general terms where you found the answer to questions 1-3 in the graph (describe
the general location)
7. List 5 things I think you should know how to do by the end of the project?
8. How do equations, t-charts and Graphs relate?