Y varies directly with x. If x=6 when y=30, determine y when x=8.

Answer:40

Step-by-step explanation:

6 times 5 is 30

so 8 times 5 = 40

Y=40

Explanation:

Due to the nature of both X and Y varying directly, you can view the problem as a proportion. If x=6 and y=30, that must mean that when x=8 y must equal 40.

6:30 = 8:40

or

30/6 = 5

Y/8 = 5

Because they vary directly they are equivalent, and so multiply 8 by 5 and get 40.