The box plots show the average gas mileage, in miles per gallon, of cars and minivans tested by a certain company.

Which correctly compares the interquartile ranges?

A) The interquartile range for cars is about 12 mpg, and the interquartile range for minivans is about 12 mpg.

B) The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.

C) The interquartile range for cars is about 24 mpg, and the interquartile range for minivans is about 19 mpg.

D) The interquartile range for cars is about 8 mpg, and the interquartile range for minivans is about 7 mpg.

The interquartile range for cars is about 24 mpg, and the interquartile range for minivans is about 19 mpg.

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: