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GarryVolchara [31]
2 years ago
7

PLEASE HELP ASAP I need help on my quiz please answer them both right

Mathematics
1 answer:
patriot [66]2 years ago
3 0

15

Step-by-step explanation:

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Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl
lukranit [14]

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

4 0
3 years ago
3. Two numbers are in the ratio 3:5. If their difference is 12, what are the numbers?​
vladimir2022 [97]
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Step-by-step explanation:

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What is the value of the expression? - 16+ 12 <br>A. -28 <br>B. -4 <br>C. 4<br>D. 28​
mixer [17]

Answer:

B.  -4

Step-by-step explanation:

-16 + 12 = -4

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A DVD movie originally cost $19.99. Its price was mark up to $24.99. Which is closest to the percent of change? Round 19.99 to 2
FrozenT [24]

Answer:

20 25 ex vbb xxv s free robux

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2 years ago
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