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 1/6
B. 8 8/15
C. 20 4/5
D. 3 1/8

Answer 1

To determine the value of y when x = 24, we can set up a proportion using the given information:

y1/x1 = y2/x2

Plugging in the values we know:
12 4/5 / 16 = y / 24

Convert 12 4/5 to an improper fraction:
64/5 / 16 = y / 24

Simplify the fraction:
64/5 * 1/16 = y / 24
64/80 = y / 24
4/5 = y / 24

Cross multiply to solve for y:
5y = 4 * 24
5y = 96
y = 96 / 5
y = 19 1/5

Therefore, the value of y when x = 24 is 19 1/5, which is closest to option A) 19 1/6.