Respuesta :
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.