The normal weight (w) in pounds of a male between 60 and 70 inches tall is related to his height (h) in inches and is represented by w=11/2h-220, if a boy weight 145 pounds, how tall is he?
(11/2)(h) x (2/11) = 365 x 2/11
*cancel 11 and 2
h = 730/11
h = 66.4 inches
the answer is 66.4 inches
11/2 h - 220 = 145
11/2 h = 365
...
the height is 54
it's 66.4 inches
Why 54
Why 54
To determine the height of the boy if he weighs 145 pounds, we can use the given equation: w = (11/2)*h - 220, where w is the weight and h is the height.
Step 1: Substitute the given weight (w = 145) into the equation.
145 = (11/2)*h - 220
Step 2: Simplify and isolate the variable.
Add 220 to both sides of the equation:
145 + 220 = (11/2)*h
365 = (11/2)*h
Step 3: Solve for h.
Multiply both sides of the equation by 2/11 to solve for h:
(11/2)*h*(2/11) = 365*(2/11)
h = 730/11
h ≈ 66.36 inches
Therefore, the boy is approximately 66.36 inches tall.