When y = 35, x = 2.5. If the value of y varies directly with x what is the value of y when the value of xis 3.25

The value of y would be 45.5

Step-by-step explanation:

To solve this problem, start with the base form of direct variation.

y = kx

Now we can use our original values to model the equation and find k.

35 = k (2.5)

14 = k

Now we can model the equation as:

y = 14x

Now to find y, when x = 3.25, simply put 3.25 into the equation.

y = 14 (3.25)

y = 45.5