15 ÷ 3 = 5. explain why it is true that 1.5 ÷ 0.3 and 0.15 ÷ 0.03 have the same quotient.

Explained

Step-by-step explanation:

here is a rule if the numerator and the denominator both are divided or multiplied  by the same constant there no change in the quotient of the division. 15 divided by 3 will give 5 as quotient so does 1.5÷0.3 and 0.15÷0.03 because in the later both  numerator and the denominator are divided by 10 and 100 and the quotient remains unchanged.

2 is the final ! : )

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: