Problem Solving • Application
16.
MAPRACAICEAL 6 Use Math Vocabulary Mario is
making a sculpture out of stone. He starts by
carving a base with five sides. He then carves five
triangular lateral faces that all meet at a point
at the top. What three-dimensional figure does
Mario make?

A pentagonal pyramid  

Step-by-step explanation:

Matt's sculpture has five triangular lateral faces that all meet at a point at the top, so it is a pyramid.

The base of the pyramid has five sides, so he is making a pentagonal (penta = five  and gonal = sided) pyramid.

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:

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are