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Question

The value of y varies directly as a, and y = 2 when x = 8. Find the equation represents this relationship.

User SHernandez
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1 Answer

6 votes

Answer: y = 0.25x

Optionally you can replace 0.25 with the fraction 1/4

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Step-by-step explanation:

The variable y varies directly with x, which means we have the template of y = kx for some constant k.

Plug in x = 8 and y = 2. Then solve for k

y = kx

2 = k*8

8k = 2

k = 2/8

k = 1/4

k = 0.25

Therefore, we go from y = kx to y = 0.25x

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Check:

Plugging in x = 8 should get us to y = 2

y = 0.25x

y = 0.25*8

y = 2

The answer is confirmed.

User Namford
by
7.2k points