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.

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!!

answer: i'm great at algebra

~coco

step-by-step explanation:

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: