SOLUTION: According to Dr's your maximum ideal waist size is directly proportional to your hip size. For a woman with a 40 inch hips, the maximum ideal waist size is 32 inches. What is the

Algebra ->  Graphs -> SOLUTION: According to Dr's your maximum ideal waist size is directly proportional to your hip size. For a woman with a 40 inch hips, the maximum ideal waist size is 32 inches. What is the      Log On


   

Question 146079: According to Dr's your maximum ideal waist size is directly proportional to your hip size. For a woman with a 40 inch hips, the maximum ideal waist size is 32 inches. What is the maximum ideal waist size for a woman with 35 inch hips?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, you write the proportion equation, where W = waist size and H = hip size in inches.
W+=+kH where k is the constant of proportionality. You need to find the value of k and this can be done using the given example of the woman whose hip size is 40 inches (H = 40) and whose waist size is 32 inches (W = 32). Substitute the values in the first equation and solve for k.
32+=+k%2840%29 Divide both sides by 40.
k+=+32%2F40 Reduce the fraction.
k+=+4%2F5
Now the final equation is:
W+=+%284%2F5%29H
So, for a woman with 35-inch hips, the ideal waist size would be:
W+=+%284%2F5%29%2835%29
W+=+28inches.