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Y varies directly with x. If y=15 and x=3, what is the value of the constant of proportionality?

User Marisol
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1 Answer

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Answer: 5

Step-by-step explanation:

The constant of proportionality is the value k in the equation y = kx

The equation y = kx is for direct proportions.

Plug in x = 3 and y = 15 to solve for k.

y = kx

15 = k*3

k = 15/3

k = 5

The direct proportion equation is therefore y = 5x

This graphs a straight line through (0,0) and (1,5) and (2,10) and (3,15).

All direct proportion graphs go through the origin.

The constant of proportionality is the slope.

User Michael Prescott
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