Question

Consider each of the following relationships. Which school shows the greatest rate of change between male and female students?

​In school A, the ratio of male students to female students is 4:1.
In school B, the relationship between the number of male students, y, and the number of female students, x, is given by the equation y=4/3x.
In school C, the number of male and female students are as shown in the table.

Female students Male students
280 1260

Answer 1

The school C shows the greatest rate of change between male and female students

Explanation:

Let

x -----> the number of female students

y ----> the number of male students

we know that

The ratio of male students to female students is

`(y)/(x)`

we have

School A

`(y)/(x)=(4)/(1)=4`

School B

`(y)/(x)=(4)/(3)=1.33` ----> the slope of the linear equation

School C

`(y)/(x)=(1,260)/(280)=4.5`

so

`4.5 > 4 > 1.33`

therefore

The school C shows the greatest rate of change between male and female students