1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katen-ka-za [31]
3 years ago
5

Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl

e.
X:2,4,8,12 Y:6,3,3/2,1
Mathematics
1 answer:
lukranit [14]3 years ago
4 0

Answer:

- Inverse Variation

- Equation: XY = 12

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;

Y = kXwhere k is the constant of variation

Make k the subject of formula

k = \frac{Y}{X}

When Y = 6, X= 2

K = \frac{6}{2} = 3

When Y = 3, X = 4

K = \frac{3}{4}

There's no need to check further as both values of k are not equal

To check for inverse variation;

Y = \frac{k}{X}

Make k the subject of formula

k = YX

When Y = 6, X= 2

K = 6 * 2 = 12

When Y = 3, X = 4

K = 3 * 4 = 12

When Y = 3/2; X = 8

K = \frac{3}{2} * 8 = \frac{24}{2} = 12

When Y = 1, X = 12

K = !2 * 1 = 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  k = YX

Substitute 12 for k

So, the equation becomes

12 = XY

Reorder

XY = 12

Hence, the equation is XY = 12

You might be interested in
Please help in 15 min tysvm<br> !
Alexxx [7]

Answer:

1) 4.68 kiloliters

2) 27800 more liters of fuel

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A high school is putting the finishing touches on their new fitness room and is preparing
Vsevolod [243]

Answer:

bvghb vbub b

Step-by-step explanation:

5 0
3 years ago
Can someone please help me its urgent!!!!!!!!!!<br> 3x + 11 = 3x - 11
user100 [1]

Answer:

\Large\boxed{\mathsf{\Rightarrow NO\quad SOLUTIONS}}

Step-by-step explanation:

<h3><u>TO SOLVE:</u></h3>

Isolate by the x on one side of the equation.

<h3><u>SOLUTIONS:</u></h3>

First, subtract 3x from both sides.

\displaystyle \Rightarrow \mathsf{3x+11-3x=3x-11-3x}}

Solve.

\displaystyle \mathsf{11=-11}

Sides are NOT equal.

\Large\boxed{\mathsf{\Rightarrow THERE \quad ARE \quad NO \quad SOLUTIONS}}}

Therefore, there are no solutions.

6 0
3 years ago
the diameter of your bicycle wheel is 34 inches.What is its radius?How far will you move in one turn if your wheel?What is the d
gulaghasi [49]

Answer:

Step-by-step explanation:

The radius of a circle is always half the radius.

Thus, in this case, the radius is (1/2)(34 in) = 17 in.

The "how far" question is answerable by finding the circumference of the wheel.  The circumference, C, is found by calculating C = πd, where d is the diameter of the circle in question.

Here, C = (34 in)π, which comes out to 106.81 inches.  The bike will move 106.81 inches forward if the wheel turns once.

If the wheel turns 5 times, the total distance traveled is 5 times the circumference, or 5(106.81 in) = 534.07 in.

6 0
3 years ago
Karen divided her books and put them on 6 shelves. There were at least 14 books on each shelf. How many books did she have?? Wri
dem82 [27]
What you do is 14 times 6 and then you have your answer
4 0
3 years ago
Read 2 more answers
Other questions:
  • X=-2y-3 4y-x=9 determine the point of intersection of each pair of lines if one exists. ​
    7·1 answer
  • Please HELP!!!!!!!!!!!!!!!!
    8·2 answers
  • Suppose that a person with a push mower can mow a large lawn in 2 ​hours, whereas the lawn can be mowed with a riding lawn mower
    7·1 answer
  • Find the compound amount on P16,100 for 4 years and 6 months at 10% compounded quarterly. (Round off your answer to the nearest
    12·1 answer
  • PLEASE ANSWER + BRAINLIEST!!
    6·1 answer
  • Angles helpppp plzzzzz and the plz explain with good details
    11·2 answers
  • Help ASAP pleaseee!!!!!!!
    7·2 answers
  • If you're good with crushes or anything please text me , I need advice
    5·1 answer
  • Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • An ordinary (fair) dle is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a d
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!