Question

finding a scale factor your friend asks you to enlarge your notes to study because your writing is small. your writing covers 7.5 inches by 10 inches on a piece of paper. the writing on the enlarged copy has a smaller side with a length of 9 inches. what is the scale factor of this dilation?
k = \square

Explanation:

Step1: Identify corresponding sides

The original smaller side is 7.5 inches, and the enlarged smaller side is 9 inches.

Step2: Calculate scale factor

Scale factor \( k \) is the ratio of the enlarged length to the original length. So \( k=\frac{9}{7.5} \).
Simplify \( \frac{9}{7.5}=\frac{9\times2}{7.5\times2}=\frac{18}{15} = 1.2\).

Answer:

\( 1.2 \)