How many four digit numbers can be formed from the numbers 1,3,4,6,8 and if repetition of number is not allowed?

Total even numbers: 4⋅6⋅5⋅4=4804⋅6⋅5⋅4=480

Total 3-digit even numbers: 3⋅5⋅4⋅1=603⋅5⋅4⋅1=60

Total 4-digit even numbers: 480−60=420

what the question so we can you out

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: