The formula to compute a person's body mass index is B=703*w/h2
B represents the body mass index, w is the person's weight in pounds and h represents the person's height in inches.
I need to:
a. solve the formula for w.
b. What is the weight to the nearest pound of a person who is 64inches tall and has a body mass of 21.45.
Not sure how to solve for w. and I believe the answer to b is 64x64/21.45 but not sure?
B=703•w/h2
a. To solve the formula for w, we need to isolate w on one side of the equation. Let's go step by step:
B = 703 * w / h^2 (original formula)
First, let's multiply both sides of the equation by h^2 to eliminate the denominator:
B * h^2 = 703 * w
Next, divide both sides of the equation by 703 to isolate w:
w = (B * h^2) / 703
So, the formula for w is:
w = (B * h^2) / 703
b. To find the weight to the nearest pound of a person who is 64 inches tall and has a body mass index of 21.45, we can substitute the values into the formula:
w = (B * h^2) / 703
Given: h = 64 inches, B = 21.45
w = (21.45 * 64^2) / 703
Now, let's calculate the value using a calculator:
w ≈ 185.36
Therefore, the weight to the nearest pound of a person who is 64 inches tall and has a body mass index of 21.45 is approximately 185 pounds.