Question

table of contents > module 7: rational expressions and equations > practice: proportions
practice: proportions
score: 1/6 answered: 1/6
question 2
sue goes to the fabric store at a rate of 2 times a month. how many times would she be expected to go to the fabric store in 9 months?
translate to a proportion:
$x = $ times in 9 months

Explanation:

Step1: Set up the proportion

Let \( x \) be the number of times Sue goes to the fabric store in 9 months. The rate is constant, so we can set up the proportion \(\frac{2 \text{ times}}{1 \text{ month}}=\frac{x \text{ times}}{9 \text{ months}}\).

Step2: Solve for \( x \)

Cross - multiply the proportion: \(1\times x = 2\times9\). So \(x = 18\).

Answer:

Translate to a proportion: \(\boldsymbol{\frac{2}{1}=\frac{x}{9}}\)
\(x=\boldsymbol{18}\) times in 9 months