Question

You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 3 feet by 4 and a half feet. What is the scale factor of this dilation?

Answer 1

The answer is 9. 12 inches in a foot, 3 feet = 36 inches, 4.5 feet = 54 inches. 36/3=9, 54/4.5=9. The scale factor is 9.

Answer 2

The scale factor is 9.

Explanation:

We know that the original photo dimensions are
`4in * 6in`.

And we need to transform to new dimensions of
`3ft * 4(1)/(2)ft`

To find the scale facto here, we need to find te number that gives us the dilation, in other words, we need to divide. However, before doing that, we need to have all magnitued with the same units, so let's transform from feet to inches.

We know that 1 feet equals 12 inches, then

`3ft(12in)/(1ft) =36in`

`4(1)/(2)ft=(9)/(2) ft(12in)/(1ft) =54in`

Now, we can divide to find the scale factor

`(36in)/(4in)=9`

`(54in)/(6in)=9`

Therefore, the scale factor is 9.