Question

In a direct variation, y=10 when x=5. Write a direct variation equation that shows the relationship between x and y. Write your answer as an equation with y first, followed by an equals sign.

Answer 1

Answer:

y = 2x

Step-by-step explanation:

Since y varies directly with x, the equation relating them us

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 5

k = $\frac{y}{x}$ = $\frac{10}{5}$ = 2

y = 2x ← direct variation equation

Answer 2

The equation is y = 2 x.

Since y varies directly with x,

y = k x

k is the constant of variation

To find k use the condition y = 10 when x = 5

k = y / x

k = 10 / 5

k = 2

y = 2 x

What is the formula for direct and indirect variation?

For the direct variant, use the equation y = kx, where okay is the regular of proportionality. For inverse variation, use the equation y = ok/x, again, with k as the steady of proportionality.

If x is not identical to zero then the value of the regular proportionality may be given as ok = y/x. For that reason, the ratio of those two variables is continually a regular wide variety. any other manner of expressing the direct version equation is x = y / k.

Learn more about direct variation here: https://brainly.com/question/6499629

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