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

Answer:

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

Step-by-step 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

$\frac{y}{x}$

we have

School A

$\frac{y}{x}=\frac{4}{1}=4$

School B

$\frac{y}{x}=\frac{4}{3}=1.33$ ----> the slope of the linear equation

School C

$\frac{y}{x}=\frac{1,260}{280}=4.5$

so

$4.5 > 4 > 1.33$

therefore

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