The median age of the science teachers at Mike’s school is the same as the median age of the math teachers, but the ages of the math teachers show greater variability. Which statement most likely describes the data sets? The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers.
There are more math teachers than science teachers at Mike’s school.
The average age of the math teachers at Mike’s school is greater than the average age of the science teachers.
The oldest teacher in Mike’s school is a mathematics teacher.

A. The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers.

Step-by-step explanation: on Edg 2020

here the number -5 is all of the following except a rational number.

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: