To determine the scale of Ahmed's prototype-model of the bridge, we need to compare the height of the model to the height of the actual bridge.
Given:
- The height of the model: 5 meters
- The height of the bridge: 125 meters
The scale of the model is calculated by dividing the height of the model by the height of the actual bridge:
[tex]\[
\text{Scale} = \frac{\text{Height of the model}}{\text{Height of the bridge}} = \frac{5 \, \text{m}}{125 \, \text{m}}
\][/tex]
Let's simplify this fraction:
1. Both the numerator and the denominator can be divided by 5:
[tex]\[
\frac{5}{125} = \frac{5 \div 5}{125 \div 5} = \frac{1}{25}
\][/tex]
So, the scale of the model is [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct answer is:
C. [tex]\(\frac{1}{25}\)[/tex]
