Question

If y varies directly as x and y = 60 when x = 12, find y if x = 35. ​

Answer 1

When y varies directly as x and y = 60 when x=12, the constant of variation is 5. Hence, when x = 35, y is calculated to be 175.

Step-by-step explanation:

If y varies directly as x, it means that y can be expressed as y = kx, where k is the constant of variation. We are given that y = 60 when x = 12, so we can find k by substituting these values into the equation:

60 = k(12)
k = 60 / 12
k = 5
Now that we have the constant of variation, we can use it to find y when x = 35.y = 5(35)
y = 175
Therefore, when x = 35, y is equal to 175.