Question

y varies directly as x
y=35 when x=10. Find the direct variation equation. Than find y when x=5

Answer 1

To find the direct variation equation, we need to determine the constant of variation. We can do this by using the given data: when x = 10, y = 35.

The equation for direct variation is in the form y = kx, where k is the constant of variation.

Plugging in the values y = 35 and x = 10 into the equation, we can solve for k:
35 = k(10)
Dividing both sides by 10, we find:
k = 35/10
k = 3.5

Therefore, the direct variation equation is y = 3.5x.

To find y when x = 5, we can plug this value into the equation:
y = 3.5(5)
y = 17.5

Therefore, when x = 5, y = 17.5.