Question

Wayne has a recipe on 3 inch by 5 inch index card that he wants to enlarge to 15 inches long. how wide will the enlargements be?

Answer 1

enlarged length is 3 times (15 / 5) length of card
so the enlarged width is 9 inches (3 x 3)

Answer 2

9 in wide will the enlarge.

Explanation:

Wayne has a recipe on 3 inch by 5 inch index card

Length and width of index card varies directly.

If we enlarge the length their width would be definitely enlarge.

Initial L = 3 in and Width = 5 in

`L\propto W`

`L=kW`

where, L=3 and W=5

Substitute L and W into formula

3=5k

`k=(3)/(5)`

We need to find L when W=15

`L=(3)/(5)* 15\Rightarrow 9`

Thus, 9 in wide will the enlarge.