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.

Respuesta :

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

Step-by-step explanation:

Part A:

y=0.860x + 3.302

y= 0.860(17) + 3.302

y= 14.62 + 3.302

y=  17.922

Part B:

step 1

y=0.860x + 3.302

y= 0.860(17) + 3.302

y= 14.62 + 3.302

y=  17.922

step 2

y=0.860x + 3.302

y= 0.860(18) + 3.302

y= 15.48 + 3.302

y= 18.782

step 3

18.782-17.922=.86

So, the rate of change is .86

Hope it helps!!