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

Which card(s) are decreasing in value each year? How can you tell?

Which card(s) had the greatest initial values at purchase (at 0 years)?

Which card(s) is increasing in value the fastest from year to year? How can you tell?

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.

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.