is a number. As a product of prime factors in index form = 2 × 34 × 3 Work out 32 as a product of prime factors in index form. Give your answer in terms of .

Step-by-step explanation:

Work out 32 as a product of prime factors in index form

First find out the factor for 32

32 can be break into 16 times 2

16 can be break into 8 times 2

8 can be break into 4 times 2

4 can be break into 2 times 2

So, 32 can be written as

The index form of the 32 is

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:

12.5 feet

step-by-step explanation: