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?
a 19 1/5
b 8 8/15
c 20 4/5
d 3 1/8

Answer 1

To solve this problem, first determine the constant of variation (k) by using the given values:

y = kx
12 4/5 = k * 16

First, convert 12 4/5 to an improper fraction: 12 + 4/5 = 60/5 + 4/5 = 64/5

Then, solve for k:
k = 64/5 / 16
k = 64/5 * 1/16
k = 64/80
k = 4/5

Now that we know k = 4/5, we can find y when x = 24:
y = (4/5) * 24
y = 96/5
y = 19 1/5

Therefore, the value of y when x = 24 is 19 1/5. The correct answer is a) 19 1/5.