I need help with this question

Divide x by y and compare:

5/1 = 5

10/2 = 5

20/4 = 5

All 3 are the same number so yes the rate of change is constant.

Yes

Step-by-step explanation:

We can see that the correlation between x and y is

x = y/5

or

y = 5x

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: