Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a dust mite is 400 μm long. under a microscope, it looks 100,000 μm lon…

Question

a dust mite is 400 μm long. under a microscope, it looks 100,000 μm long. what magnification scale was used?
hint: scale factor = scaled image dimension / original dimension
5,000
150
1,000
250

Explanation:

Step1: Identify values

The original length of the dust - mite is 400 μm and the scaled - length (length under the microscope) is 100000 μm.

Step2: Apply the scale - factor formula

The scale factor formula is $\text{Scale Factor}=\frac{\text{Scaled Image Dimension}}{\text{Original Dimension}}$. Substitute the values: $\text{Scale Factor}=\frac{100000}{400}$.

Step3: Calculate the scale factor

$\frac{100000}{400}=250$.

Answer:

250