Question

you are using a magnifying glass. use the actual length of the insect and the magnification level to determine the length of the image of the insect seen through the magnifying glass. emperor moth magnification: 5 × the magnified length is millimeters.

Explanation:

Step1: Recall the magnification formula

The formula for magnification \(M=\frac{\text{Image length}}{\text{Actual length}}\). We know \(M = 5\) (magnification level) and the actual length of the emperor moth is \(12\) mm. Let the magnified length (image length) be \(x\).

Step2: Substitute values into the formula

Using \(M=\frac{x}{12}\), and since \(M = 5\), we have the equation \(5=\frac{x}{12}\).

Step3: Solve for \(x\)

Multiply both sides of the equation by \(12\): \(x=5\times12\).

Answer:

\(60\)