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Stolb23 [73]
4 years ago
14

Determine whether y varies directly with x. If so, find the constant of variable k.

Mathematics
2 answers:
Taya2010 [7]4 years ago
8 0

Answer:

Yes, "y" varies directly with "x"

The constant of variation is: k=4

Step-by-step explanation:

Constant variation equation has the following form:

y=kx

Where "k" is the constant of variation.

You can notice in the table the when "x" increases, "y" increases   and the ratio between them is always the same.

To find "k" you need to pick any a point from the table, subsitutte the coordinates into  y=kx and solve for "k". Then:

24=k(6)\\\\k=\frac{24}{6}\\\\k=4

alexira [117]4 years ago
8 0

Answer:

y varies directly with x, and the constant of variation is k = 4.

Step-by-step explanation:

If y varies directly with x, then y = kx, where k is the constant of variation.

To determine if y varies directly with x, divide each y value by the corresponding x value.  If the result is the same for all the points, then y indeed varies directly with x.

24 / 6 = 4

72 / 18 = 4

216 / 54 = 4

648 / 162 = 4

y varies directly with x, and the constant of variation is k = 4.

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Andreyy89

The equation of line with undefined slope and x - intercept -7 is x = -7

<em><u>Solution:</u></em>

Given that the slope of line is undefined and the x intercept is -7

To find: Equation of line

If a line has undefined slope, then it is a vertical line

A vertical line has undefined slope because all points on the line have the same x-coordinate

<em><u>The equation of a vertical line always takes the form:</u></em>

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3 years ago
Before you factor you should check what two things?
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3 years ago
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A rectangular prism has a length of 18 meters, a height of 19 meters, and a width of 11 meters. What is its volume, in cubic met
victus00 [196]
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3 years ago
You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 40 g of carbohyd
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Answer:

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Step-by-step explanation:

given:

Cost Eggs = $2

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Lets eggs = x,

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2x + 12y + 43 ≥ 40

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to get this we need to add what each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.

Same should be done for protein, we require at least 20 grams of protein,  Eggs add 17g, edamame adds 12g, and macaroni adds 8g.

and lastly we don't want more than 50 grams of fat,  Eggs add 14g, edamame add 6g and macaroni 1g.

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3 years ago
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Answer:

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