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

Answer:

The enlarge height is 15 in .

Step-by-step 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

$k = \frac{8}{10}$

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

$k = \frac{12}{x}$

Compare the value of k .

$\frac{8}{10} = \frac{12}{x}$

$x= \frac{12\times 10}{8}$

$x= \frac{120}{8}$

x = 15 in

Therefore the enlarge height is 15 in .