Question

Identify the equation of direct variation given that y varies directly with x. y is 75 when x is 5.

Answer 1

y = 15x

Explanation:

The equation for direct variation is ...

y = kx

where k is the constant of proportionality.

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We can find k by dividing by x:

y/x = k

Using the given values, we find it to be ...

75/5 = k = 15

Using this value of k in the equation, we find the equation of direct variation is ...

y = 15x