Question

Y varies derectlymasx y=5when x=25 find y when x =55

Answer 1

To find the value of y when x = 55 in the given equation y varies directly as x with the condition y=5 when x=25, we can set up a proportion using the constant of variation.

Step-by-step explanation:

To find the value of y when x = 55 in the given equation y varies directly as x with the condition y=5 when x=25, we can set up a proportion using the constant of variation. Let's first find the constant of variation:

Since y varies directly as x, we have the equation y = kx, where k is the constant of variation.

Substituting the given values into the equation, we get 5 = k(25). Solving for k, we find k = 5/25 = 1/5.

Now we can use this constant to find y when x = 55 by substituting the values into the equation:

y = (1/5)(55) = 11.