Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table. X:2,4,8,12 Y:6,3,3/2,1

- 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

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all