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 points
10
Question 1
1.
Which card(s) are decreasing in value each year? How can you tell?
Which card(s) are decreasing in value each year? How can you tell?
10 points
10
Question 2
2.
Which card(s) had the greatest initial values at purchase (at 0 years)?
Which card(s) had the greatest initial values at purchase (at 0 years)?
10 points
10
Question 3
3.
Which card(s) is increasing in value the fastest from year to year? How can you
tell?
Which card(s) is increasing in value the fastest from year to year? How can you
tell?
10 points
10
Question 4
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.
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 points
10
Question 5
5.
Write a sentence explaining the 0.9 value in Card C’s equation.
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.