Question

The university took a phone survey of 3421 students about tuition. Of the students surveyed 2004 of those students believed that tuition was too high. What is a good prediction of how many students think tuition is too high if there are over 25,000 students at the university?

A. 13,645 students
B. 12,645 students
C. 14,645 students
D. 17,645 students

Answer 1

is the answer c or d i say c

Answer 2

C. 14,645 students

Explanation:

Let x be the number of students who think tuition is too high if there are over 25,000 students at the university,

So, the ratio of students who think tuition is too high and total student =
`(x)/(25000)`

Given,

Out of 3421 students, 2004 think tuition is too high,

Thus, the ratio of students who think tuition is too high and total student =
`(2004)/(3421)`

`\implies (x)/(25000)=(2004)/(3421)`

By cross multiplication,

`3421x=2004* 25000`

`x=(50100000)/(3421)=14644.8406899\approx 14645`

Hence, the predicted number of students who think tuition is too high is 14,645.

Option 'C' is correct.