Question

practice: scale factors and volume listen a computer science engineer is developing a model of a motherboard to use in product demonstrations. the original motherboard measures 5 1/4 inches in length. the model needs to be scaled up at a factor of 8:1. what would the length of the model be? the model would be 420 inches long. the model would be 6.7 inches long. the model would be 42 inches long. the model would be 0.07 inches long.

Explanation:

Step1: Convert mixed - number to improper fraction

The original length is $5\frac{1}{4}=\frac{5\times4 + 1}{4}=\frac{21}{4}$ inches.

Step2: Multiply by scale factor

The scale factor is 8. So the length of the model is $\frac{21}{4}\times8$.
$\frac{21}{4}\times8=21\times2 = 42$ inches.

Answer:

The model would be 42 inches long.