Assume the average height and weight of a female in your math class is 5'5" and 140 pounds. Use this information to write a variation equation then use it to find the weight of the female below if they had the same body type as the average female. Round answer to the nearest pound.

Kelly 5'6"

5'5" = 65"

5'6" = 66"

So, assuming a linear relationship,

66/65 * 140 lb

Steve the answer according to my book is 147

Well, I guess that's possible. You have given no other data for determining the line, so I assumed it started at (0,0).

In that case, my answer is 142.15

If, however, the data suggest that the line is given by

w = 4.85 + 66/65 h

then the answer would be 147. Better check the original problem to be sure you have accounted for all the given data.

It's quite possible that the line is given by

w = 36.8 + 66/65 (h-3.7) or something. No idea. All we have to go on is that the slope is probably 66/65. Even that is not certain, since we only have one data point to go on. It's hard to build a variation equation from one point, since it's usually a least-squares fit, using several points to estimate the line.

To write a variation equation, we can consider the height and weight as variables that are directly related to each other. Let's define "h" as the height and "w" as the weight.

Given that the average height and weight of a female in your math class is 5'5" and 140 pounds, we can express this information as follows:

Average height (h): 5'5" (converted to inches is 65 inches)
Average weight (w): 140 pounds

We can write the variation equation as:

w = kh

where "k" is the constant of variation. To find the value of "k," we can substitute the average height and weight values:

140 = k * 65

Now, solve for "k":

k = 140 / 65
k ≈ 2.154

Now that we know the value of "k," we can use it to find the weight of Kelly, who is 5'6" tall.

Kelly's height (h): 5'6" (converted to inches is 66 inches)

Substituting the value of "h" into the variation equation:

w = 2.154 * 66

Calculate:

w ≈ 142 pounds

Therefore, if Kelly had the same body type as the average female in your math class, her weight would be approximately 142 pounds.