Answer:
The scale factor is 9.
Step-by-step explanation:
We know that the original photo dimensions are [tex]4in \times 6in[/tex].
And we need to transform to new dimensions of [tex]3ft \times 4\frac{1}{2}ft[/tex]
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
[tex]3ft\frac{12in}{1ft} =36in[/tex]
[tex]4\frac{1}{2}ft=\frac{9}{2} ft\frac{12in}{1ft} =54in[/tex]
Now, we can divide to find the scale factor
[tex]\frac{36in}{4in}=9[/tex]
[tex]\frac{54in}{6in}=9[/tex]
Therefore, the scale factor is 9.
