Question

a photographer enlarged a picture.
if the width of the image is 5 inches and the scale factor is found to be 2.5 then what is the width of the preimage?
the width of the preimage photograph is
inches.

Explanation:

Step1: Recall the scale factor formula

The formula relating the image width (\(I\)), pre - image width (\(P\)) and scale factor (\(k\)) is \(I=k\times P\). We need to find \(P\), so we can rearrange the formula to \(P = \frac{I}{k}\).

Step2: Substitute the given values

We know that \(I = 5\) inches and \(k=2.5\). Substituting these values into the formula \(P=\frac{I}{k}\), we get \(P=\frac{5}{2.5}\).

Step3: Perform the division

\(\frac{5}{2.5}=2\).

Answer:

2