Mathematics, 21.01.2020 14:31 KindaSmartPersonn

Determine whether y varies directly with x. if so, find the constant of variation k and write the equation.
x y
7 11
8 13
9 15
10 17

Answers: 1

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Answers

The correct answer is that y does not vary directly with x.

Explanation:
If y varies directly with x, this means that it would fit the equation y=kx for every point in the set.

For the first point, we would have 11=7k; this would mean that k=11//7.
For the second point, we would have 13=8k; this would mean that k=13/8.

Checking using proportions shows us that 11/7 does not equal 13/8:
cross multiply, and you have 11*8=7*13, or 88=91.

This is not true, so k is not a constant, and y does not vary directly with x.

Answer from: Alexmills6093

As equation for y varies directly with x with constant of variation k is y = kx .

(1 )Equation becomes 11 = 7k and constant of variation is 1.57 .

(2)Equation becomes 13 = 8k and constant of variation is 1.625 .

(3)Equation becomes 15 = 9k and constant of variation is 1.67 .

(4)Equation becomes 17 = 10k and constant of variation is 1.7 .

Step-by-step explanation:

As given

y varies directly with x.

$y \propto x$

y = kx

Where k is the constant of variation .

As given

x = 7 , y = 11

Equation becomes

11 = 7k

$k = \frac{11}{7}$

k = 1.57 (Approx)

Thus equation becomes 11 = 7k and constant of variation is 1.57 .

As given

x = 8 , y = 13

Equation becomes

13 = 8k

$k = \frac{13}{8}$

k = 1.625

Thus equation becomes 13 = 8k and constant of variation is 1.625 .

As given

x = 9 , y = 15

Equation becomes

15 = 9k

$k = \frac{15}{9}$

k = 1.67 (Approx)

Thus equation becomes 15 = 9k and constant of variation is 1.67 .

As given

x = 10 , y = 17

Equation becomes

17 = 10k

$k = \frac{17}{10}$

k = 1.7 (Approx)

Thus equation becomes 17 = 10k and constant of variation is 1.7 .

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Because of mourning president bush's death
Can someone me .i need to write essay from this questions. and i don't know how. and u guys.

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costs the what? what is the cost of the pants?

step-by-step explanation:

if it is $10, then the price is 14.

take 40% of the cost, and then add the cost.

40% of 10 = 4

4+10 = 14.

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Determine whether y varies directly with x. if so, find the constant of variation k and write the eq...

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