Question

The value of y varies directly with x. When x=16, y=12 4/5. What is the value of y when x=24?

Answer 1

To find the value of y when x=24, we first need to find the constant of proportionality.

Given that y varies directly with x, we can set up the proportion:

y = kx

Now, we can use the values provided when x=16 and y=12 4/5 to find the constant of proportionality:

12 4/5 = k(16)
12 4/5 = 64k
k = (12 4/5) / 64
k = 12.8 / 64
k = 0.2

Now that we have the constant of proportionality, we can find the value of y when x=24:

y = 0.2(24)
y = 4.8

Therefore, the value of y when x=24 is 4.8.