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MathematicsMathematics
23 April, 12:25

Compare rates of change.

A. The equation below can be used to find the length of a foot or forearm when you know one or the other.

(length of the foot) = 0.860 • (length of the forearm) + 3.302

If you let y = length of the foot and x = length of the forearm, this equation can be simplified to

y = 0.860x + 3.302.

Using this equation, how long would the foot of a person be if his forearm was 17 inches long?

B. What is the rate of change of the equation from Part A?

Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?

C. Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.

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Answers (1)
  1. 23 April, 12:53
    0
    Y=foot

    x=foram

    A. easy, plug 17 for x and evaluage for y

    y=0.860 (17) + 3.302

    y=14.62+3.302

    y=17.922 inches

    B. rate of change is slope

    y=mx+b

    m=slope

    so

    rate or change is 0.860 inches per legnth of forarm

    C. what data

    D. it is a function

    since it is 1st degree (no exponents greater than 1 on the placeholder), and it is not a vertical line

    it is a function
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Home » Mathematics » Compare rates of change. A. The equation below can be used to find the length of a foot or forearm when you know one or the other. (length of the foot) = 0.860 • (length of the forearm) + 3.
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