Question

the mathematical model w/2-3h=53 describes a weight, w, in pounds, that lies within the healthy weight range for a person whose height is h inches over 5 feet. use the formula to find a healthy weight for a person whose height is 5'11".

Answer 1

Is that \[\frac{w}{2}-3h=53\]?

Answer 2

yes

Answer 3

Do you know how to solve that equation for w?

Answer 4

i thought i did but i'm getting it wrong

Answer 5

Ok no problem. What's the first step that you'd use to solve it for w?

Answer 6

multiply the equation by 2 right?

Answer 7

You could do that...or you could also just add 3h to both sides. Pick one and show me what you get

Answer 8

okay

Answer 9

w-30=106

Answer 10

add 3o to both sides

Answer 11

Whoa :)

Answer 12

w=136

Answer 13

Ok...let me show you how to do it. Which method would you like to start with?

Answer 14

3h to both sides

Answer 15

ok.

\[\frac{w}{2}-3h=53\]\[\frac{w}{2}\cancel{-3h}+\cancel{3h}=53+3h\]\[\frac{w}{2}=53+3h\]

Now you need to multiply everything by 2:\[(\cancel {2})\frac{w}{\cancel{2}}=2(53+3h)=2*53+2*3h\]Now reduce: \[w=106+6h\]

Answer 16

The only thing left is to convert 5'11" to inches and plug it in for the height and solve.

Answer 17

oh okay hehehe

Answer 18

thanks

Answer 19

yw :)