Question

when you change a ratio/rate to an equivalent ratio/rate with smaller numbers, you are scaling down the ratio/rate. scaling down means dividing both parts of the ratio/rate by the same scale factor greater than 1, or multiply both parts of the ratio/rate by same scale factor less than 1. scaling down a ratio/rate often makes it easier to understand.

1. scale each ratio up or down to determine the unknown quantity. identify the operation and scale factor that you used to scale up or down each ratio.

a. \\( \frac { 2 \text { blueberry muffins } } { 5 \text { total muffins } } = \frac { 20 \text { blueberry muffins } } { ? \text { total muffins } } \\)

Explanation:

Step1: Determine the scale factor

We know that \(2\times10 = 20\). So the scale factor is \(10\).

Step2: Scale the denominator

Since the ratio \(\frac{2}{5}\) is scaled up by a factor of \(10\), we multiply the denominator \(5\) by \(10\). So \(5\times10=50\).

Answer:

\(50\) total muffins. The operation is multiplication and the scale factor is \(10\).