Question

Find the value of y for a given value of x, if y varies directly with x.
If y = 6 when x = 2, what is y when x = 5?

Answer 1

okk so for this.... \[\frac{ x_{1} }{ y_{1} }=\frac{ x_{2} }{ y_{2} }\]

Answer 2

2/6 = 5/y. "directly proportional" or "directly varies" means x/y is proportional to another x/y, so just make them equal. solve for y

Answer 3

so then u get......
\[\frac{2}{6}=\frac{5}{y}\]

Answer 4

now just solve for y

Answer 5

how do i do that??

Answer 6

would it be 5/15 ??

Answer 7

yupp so 15 is your answer