Write the converse of the conditional statement. Determine whether the converse is true or false. If it is false, find a counterexample.

If you live in Ohio, then you live in the United States.
Question 6 options:

If you live in the United States, then you live in Ohio. True

An Ohioan lives in the United States. True

If you live in the United States, then you live in Ohio. False; you could live in Alaska.

If you live in Ohio, then you live in the United States. True

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:

b

step-by-step explanation: