Question

Description of the Problem: University Volleyball Player Losing Weight

Part A.
Sharon Shields is a 20-year-old female majoring in psychology. She has transferred from a community college where she commuted daily,
worked as a cashier for about 12 hours per week, and played volleyball on her college's team. She is transferring to The Ohio State Univer-
sity and has been offered a scholarship to play on the team. She is impressed with the University and the chance of having the opportunity
to play at a national university. As the season approaches and she gets to know the other players, she notices that the other players are
concerned about their overall fitness and start to train early to get a head start. As the season approaches, she needs to get back into
shape. One item that her teammates discuss is their body mass index, or BMI. She calculates that she currently weighs 185 pounds and
is 5 foot 9 inches in height. She calculates her BMI at 27.4, which is in the overweight category. While she was surprised that the BMI was
higher than she expected, she thought she could get in into the normal BMI range, which is 18.5 to 24.9. To simplify things, she decides
to target a BMI of 24.0.
Question:
1. What weight does Sharon need to target to get to a BMI of 24.0?

Answer 1

Sharon Shields needs to target a weight of approximately 162 pounds (73.5 kg) to achieve a BMI of 24.0.

Step-by-step explanation:

To calculate Sharon's target weight for a BMI of 24.0, we need to rearrange the BMI formula:

BMI = weight (kg) / (height (m)^2)

In order to use the formula, we first convert her height to meters and her weight goal to kilograms:

Height in inches: 5 feet 9 inches = 69 inches

69 inches * 0.0254 = 1.75 meters

Now we can calculate her weight in kilograms that corresponds to a BMI of 24:

Weight (kg) = BMI * (height (m)^2)

Weight (kg) = 24.0 * (1.75^2)

Weight (kg) = 24.0 * 3.0625

Weight (kg) = 73.5

Finally, we convert kilograms back to pounds to find the target weight (1 kg = 2.20462 pounds):

Target weight (pounds) = 73.5 kg * 2.20462

Target weight (pounds) = 162 pounds

Sharon Shields needs to target a weight of approximately 162 pounds to achieve a BMI of 24.0.