Question

A photo 5 inches wide and 8 inches long is enlarged. How long is the new photo if it is (1)10 inches; (2)15 inches; (3)8 inches wide?

Answer 1

1. 16 inches long, 2. 24 inches long, 3. 12.8 inches long

Answer 2

1.16 in

2.24 in

3.12.8 in

Explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

`(x_1)/(y_1)=(x_2)/(y_2)`

Substitute the values then we get

`(5)/(8)=(10)/(y)`

`y=(10* 8)/(5)=16`

Hence, the length of photo=16 in

2.Width=x=15 in

Again using the formula

`(5)/(8)=(15)/(y)`

`y=(15* 8)/(5)=24`

Hence, the length of new photo=24 in

3. Width =x=8 in

Substitute the values in the given formula

`(5)/(8)=(8)/(y)`

`y=(8* 8)/(5)=(64)/(5)=12.8`

Hence, the length of new photo=12.8 in