Question

If the value of y varies directly with x, which function represents the relationship between x and y when y = 16/3 and x = 20?

A) y = (8/3)x
B) y = (2/3)x
C) y = (3/8)x
D) y = (3/2)x

Answer 1

The function that represents the relationship between x and y when y varies directly with x is B) y = (2/3)x.

Step-by-step explanation:

To determine the function that represents the relationship between x and y when y varies directly with x, we can use the formula y = kx, where k is the proportionality constant. We are given that when y = 16/3 (an equivalent fraction is y = 5.33) and x = 20. To find k, we can substitute these values into the equation and solve for k:

y = kx

5.33 = k(20)

k = 5.33/20

k = 0.2665

Therefore, the function that represents the relationship between x and y is y = 0.2665x. Thus, the answer is option B) y = (2/3)x.