Question

A person who is 64 inches tall has a shoulder width of 16 inches. Write an equation relating the height h to the width w. Find the height of a person who has a shoulder width of 18.5 inches. Separate your equation and answer with the semi-colon and 1 space.

Answer 1

Part a)
`(h)/(w)=(4)/(1)`

Part b)
`h=74\ in`

Explanation:

Let

h-----> the height of the person

y----> the width of the shoulder of the person

we know that

`(h)/(w)=(64)/(16)=(4)/(1)`

For
`w=18.5\ in`

Find the value of h

`(h)/(18.5)=(4)/(1)`

`h=18.5*4=74\ in`

Answer 2

Let the height of the person with shoulder width of 18.5 be = x

As given, A person who is 64 inches tall has a shoulder width of 16 inches.

So, we have to find the height when the shoulder width is 18.5 inches.

We can relate these two by ;

`(64)/(16)=(x)/(18.5)`

`16x=64*18.5`

`16x=1184`

`x=74`

Hence, the height of the person should be 74 inches.