Eddie measures and finds the volume of the baseball shown.

Student work is shown. The first step shows V equals four-thirds pi r cubed. Next line is, approximately four-thirds times three and fourteen hundredths times three cubed. Next line is, approximately one hundred thirteen inches cubed. A baseball with diameter labeled approximately three inches is shown. Does the approximate volume look correct? Explain.

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:

2

step-by-step explanation: