Sequence 1: The height of a turtle compared to the surface of the water is shown in the sequence.

At stage 1, the turtle is 8 inches above the water.

8, 4, 0, -4, [ ], [ ]

Sequence 2:

Week Population of Ants (Thousands)
1 2
2 6
3 18
4 [ ]
5 [ ]

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.

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:

step-by-step explanation:

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0