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y varies directly as x. if x=5 when y=12 find x when y=30

Sagot :

I guess "varies directly" means that if, for example, you take x=6 you get y=13 or for x=4 y is 12.
Assuming this, you get:
[tex]x_1 = 5 \\ y_1 = 12 \\ y_2 = 30 \\ x_2 = ? \\ \\ x_2 - x_1 = y_2 - y_1 \\ x_2 = x_1 + y_2 - y_1 \\ x_2 = 5 + 30 - 12 \\ x_2 = 23[/tex]
The logic would fit, I guess :/
Itsjoshgacha

Answer: The equation is y=k(x). So 12=k(5), divide by 5 on both sides coming up with k=2.4. Plug 2.4 in as k in the original equation, making it 30=2.4(x), divide both sides by 2.4, 30 divided by 2.4 is 12.5, making x=12.5

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