Question

6 a science museum has a scale model of a beetle. the scale factor is 5000%. the length of the model is 1 meter. how long is the actual beetle, in millimeters? show your work. write an equation to relate the ratios. solution: ______

Explanation:

Step1: Convert scale factor to decimal

A scale factor of 5000% means we divide by 100 to get the decimal. So \( 5000\%=\frac{5000}{100} = 50\). This means the actual length is 50 times the model length.

Step2: Find actual length in meters

The model length is 1 meter. So actual length in meters is \( 1\times50 = 50\) meters.

Step3: Convert meters to millimeters

We know that 1 meter = 1000 millimeters. So to convert 50 meters to millimeters, we multiply by 1000. \( 50\times1000=50000\) millimeters.

Answer:

50000