Question

in a survey of students at a certain school, 12% of survey respondents indicated that they like the bus. if (s) is the number of survey respondents, which expression represents the number of survey respondents who indicated that they like the bus?
a) (\frac{12}{100}s)
b) (\frac{88}{100}s)
c) (12s)
d) (88s)

Explanation:

Step1: Identify the percentage of non - liking respondents

The percentage of respondents who indicated they like the item is 12%. So the percentage of respondents who indicated they dislike the item is \(100 - 12=88\%\).

Step2: Express as a fraction of the total number of respondents

If \(n\) is the number of survey respondents, the number of respondents who indicated they dislike the item is \(88\%\) of \(n\), which is \(\frac{88}{100}n\).

Answer:

B. \(\frac{88}{100}n\)