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 5:2. 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 = 2 x . In school C, the number of male and female students are as shown in the table.
female students 120
Male students 200

Answer 1

Answer:

The greatest rate of change is for school A as it has the greatest ratio of 2.5

Step-by-step explanation:

School A:

Ratio of male to female students, $m_A=5:2=\frac{5}{2}=2.5$

School B:

Male students are related to female students by equation:

$y=2x$

Where, $x$ means number of female students and $y$ means number of male students.

Therefore, the ratio of male to female students is, $m_B=\frac{y}{x}=2$

School C:

Ratio of male to female students is, $m_C=\frac{\textrm{Number of male students}}{\textrm{Number of female students}}=\frac{200}{120}=1.67$

Now, rate of change of male to female students is directly proportional to the ratio of the two.

Hence, the greater the ratio, the greater the rate of change.

So, the greatest rate of change is for school A as it has the greatest ratio of 2.5