SOLUTION: I don't understand this question. please help me. thank you for your time. Hat sizes are determined by measuring the circumstances of one's head in either inches or centimeters?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I don't understand this question. please help me. thank you for your time. Hat sizes are determined by measuring the circumstances of one's head in either inches or centimeters?       Log On


   

Question 391876: I don't understand this question. please help me. thank you for your time.
Hat sizes are determined by measuring the circumstances of one's head in either inches or centimeters?
Use ratio and proportion to complete the following table.
Hat size
7 1/4
Head circumference (to nearest 1/5 inch)
22 4/5
Head circumference (to nearest centimeter)
58
Hat size
7 1/8
Head circumference (to nearest 1/5 inch)
____ ??
Head circumference (to nearest centimeter)
____?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x represent

Determining 'hat size' from the size of the head is an excellent example of 

a direct proportion between Hat size and Head circumference.

that is: hat size = k*Head size OR k =hat size/head size , where k is a constant.

k%5Bin%5D+=7.25%2F22.8in+=+.318 Or hat size = .318*head size(in)

k%5Bcm%5D+=7.25%2F58cm+=+.125  OR hat size = .12*head size(cm)



Hat size 7 1/8  (7.125)

(7 1/8) = .318*head size(in) 

 7.125/.318 = 22.4in

(7 1/8) = .125*head size(cm) 

7.125/.125 = 57cm