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

Respuesta :

frika

Answer:

School C

Step-by-step explanation:

Let

y = number of male students

x = number of female students.

School A:

If the ratio of male students to female students is 4:1, then

[tex]\dfrac{y}{x}=\dfrac{4}{1}=4[/tex]

School B:

If the relationship between y and x is given by the equation [tex]y=\dfrac{4}{3}x,[/tex] then

[tex]\dfrac{y}{x}=\dfrac{4}{3}=1\dfrac{1}{3}[/tex]

School C:

The number of male and female students are as shown in the table:

[tex]\begin{array}{lc}\text{Female students}&280\\ \\\text{Male students} &1,260\end{array}[/tex]

Then

x = 280

y = 1,260

and

[tex]\dfrac{y}{x}=\dfrac{1,260}{280}=\dfrac{126}{28}=\dfrac{63}{14}=\dfrac{9}{2}=4.5[/tex]

The greatest rate of change is at school C, because 4.5 is the greatest number

Answer:

The greatest ratio between male and female students is shown by School C.

Step-by-step explanation:

Givens

School A:

The ratio of male students to female students is 4:1. This means there's one female student per every 4 male students.

The ratio shown here is

[tex]r=\frac{male}{female}=\frac{4}{1}=4[/tex]

School B:

The relationshop between male students and female students is

[tex]y=\frac{4}{3}x[/tex]

Which is a linear function, and the ratio of change is always the coefficient of the independent variable

[tex]r=\frac{4}{3}[/tex]

School C:

The number of males and females are shown in the table below

Female    Male

  280       1260

To find the ratio, we just need to divide:

[tex]r=\frac{male}{female}=\frac{1260}{280}= 4.5[/tex]

Therefore, the greatest ratio between male and female students is shown by School C.