High School

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Question 5 Gradpoint Math Question Please Help

Question 5 Gradpoint Math Question Please Help

Answer :

Answer:

The answer is: yes; k = -3 and y = -3x ⇒ the 3rd answer

Step-by-step explanation:

* Lets revise how to know the relation is direct proportion

- If all the ratios of x/y are proportion (equal ratios), then they

are varies directly

* Now lets check the relation between x and y

∵ x = 1 and y = -3

∴ y/x = -3/1 = -3

∵ x = 3 and y = -9

∴ y/x = -9/3 = -3

∵ x = 5 and y = -15

∴ y/x = -15/5 = -3

∵ All ratios are equal -3 (they are proportion)

∴ y varies directly with x

* y ∝ x

∴ y = k x

∴ The constant of variation k is -3

∴ y = -3x

* The answer is: yes; k = -3 and y = -3x

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Rewritten by : Barada