8.6.A.2 - Interpreting Rate of Change and Initial Value – Exit Ticket
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5 Questions
Use the information below to answer the following questions.
In 2008, a collector of sports memorabilia purchased 5 specific baseball cards as an investment. Let y represent each
card’s resale value (in dollars) and x represent the number of years since purchase. Each of the cards’ resale values after
0, 1, 2, 3, and 4 years could be modeled by linear equations as follows:
Card A: y = 5 − 0.7x
Card B: y = 4 + 2.6x
Card C: y = 10 + 0.9x
Card D: y = 10 − 1.1x
Card E: y = 8 + 0.25x
Card A: y = 5 − 0.7x
Card B: y = 4 + 2.6x
Card C: y = 10 + 0.9x
Card D: y = 10 − 1.1x
Card E: y = 8 + 0.25x
10
1.
Which card(s) are decreasing in value each year? How can you tell?
10
2.
Which card(s) had the greatest initial values at purchase (at 0 years)?
10
3.
Which card(s) is increasing in value the fastest from year to year? How can you
tell?
10
4.
If you were to graph the equations of the resale values of Card B and Card C,
which card’s graph line would be steeper? Explain.
10
5.
Write a sentence explaining the 0.9 value in Card C’s equation.
From EngageNY.org of the New York State Education Department. Grade 8 Mathematics Module 6, Topic A, Lesson 2. Internet. Available from https://www.engageny.org/resource/grade-8-mathemat...; accessed 14/Apr/2016.