Question

Suppose y varies directly with x, and y=98 when x=14. Write the direct

variation equation that relates x and y.

Answer 1

y = 7x

Step-by-step explanation:

The general formula for direct variation is y = kx, where k is the constant of proportionality. If y = 98 when x = 14, then k must be 98/14. or 7, and so

y = 7x is the desired direct variation equation.

Answer 2

Answer: y = 7x

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Step-by-step explanation:

Since y varies directly with x, this means y = kx for some constant k.

Plug in y = 98 and x = 14 to solve for k

y = kx

98 = k*14

98/14 = k

7 = k

k = 7

Therefore, y = kx updates to y = 7x which is the equation we're after.