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lana66690 [7]
2 years ago
13

. A clothing manufacturer needs 2.4 yards of fabric to make a coat and 1.6 yards of fabric to make a matching crop pants.

Mathematics
1 answer:
Sedaia [141]2 years ago
4 0
Convert to an equation y in terms of x:
Y = (-2.4x + 48)/1.6
X Intercept is where y = 0
0 = -2.4x/1.6 + 48/1.6
X = 20

Y intercept is where x = 0
Y = (-2.4*0)/1.6 + 48/1.6
Y = 30

X and y are how coats and pants are made respectfully so the x intercept is where y = 0, meaning no pants are made, only jackets. The y intercept is the opposite, it’s how many pants can be made if no jackets are made.
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3 years ago
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
9 months before march 19 2007
elena-14-01-66 [18.8K]
June 19th 2006 specifically a monday
3 0
3 years ago
Read 2 more answers
Give f(x) = 3x + 3, solve for x when f(x) = 6
Tems11 [23]

Answer:

x = 1

Step-by-step explanation:

f(x) = 3x + 3

f(x) = 6

=> 3x + 3 = 6

=> 3x = 3

=> x = 1

7 0
2 years ago
Read 2 more answers
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