Final answer:
To determine how many times more students listen to downloaded music compared to CDs, divide the proportion for downloaded music (three fourths) by the proportion for CDs (nine hundredths) to get 8.33. So, 8.33 times more students listen to downloaded music.
Step-by-step explanation:
The question asks us to compare the proportions of middle school students who listen to downloaded music versus those who listen to CDs. It is stated that three fourths (or 0.75) of the students listen to downloaded music more, while nine hundredths (or 0.09) listen to CDs more. To find out how many times more students listen to downloaded music compared to CDs, we divide the larger proportion by the smaller one.
Here's the calculation:
- Convert three fourths to a decimal: 3/4 = 0.75.
- Convert nine hundredths to a decimal: 9/100 = 0.09.
- Divide the proportion of students who listen to downloaded music by those who listen to CDs: 0.75 / 0.09 = 8.33.
Therefore, 8.33 times more students listen to downloaded music than CDs.