Question

Iris has a family photograph with a width of 8 in and height of 10 in. She wants to enlarg the photograph so that it's width is 12 in. What will the height of the enlarged photograph be?

Answer 1

The correct answer is 15 in because \frac{8}{12}= \frac{10}{x}. Hope I helped well. :)

Answer 2

The enlarge height is 15 in .

Explanation:

Let us assume that the width be w .

Let us assume that the height be h .

(As width and height of the photograph are proportional.)

`w \propto h`

w = kh

Where k is the constant of proportionality .

As given

Iris has a family photograph with a width of 8 in and height of 10 in.

Here w = 8 in , h = 10 in

Put in the equation w = kh .

8 = 10k

`k = (8)/(10)`

She wants to enlarge the photograph so that it's width is 12 in.

Let us assume that the enlarge height be x .

Here w = 12 in , h = x

Put in the equation w = kh .

12 = kx

`k = (12)/(x)`

Compare the value of k .

`(8)/(10) = (12)/(x)`

`x= (12* 10)/(8)`

`x= (120)/(8)`

x = 15 in

Therefore the enlarge height is 15 in .