Answer:
- Inverse Variation
- Equation: 
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
where k is the constant of variation
Make k the subject of formula

When Y = 6, X= 2

When Y = 3, X = 4

There's no need to check further as both values of k are not equal
To check for inverse variation;

Make k the subject of formula

When Y = 6, X= 2

When Y = 3, X = 4

When Y = 3/2; X = 8

When Y = 1, X = 12

Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of 
Substitute 12 for k
So, the equation becomes

Reorder

Hence, the equation is 
The "parent function" is y = (log to the base 2 of) x
The domain of this function is (0, infinity) (all real numbers greater than zero).
The range of this function is the same as above.
If you replace "x" with "x+1" in the parent function, the associated graph will look the same as that of the given function, EXCEPT that it will be translated by 1 unit to the left.
After this has happened, that "-3" will shift the entire new graph downward by 3 units.
<span>The trigonometric function cosecant is written as csc θ. For acute angles, csc θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = csc x is a periodic function with period 2π.</span>
Answer:
64 sq. units
Step-by-step explanation:

= 64 sq. units