Question

If y varies directly as x and y =2 when x = 10, find y when x = 22 ?
Step by step work please

Answer 1

Answer:
`k=-(1)/(9)`

Explanation:

1. You kwnow that x and y vary directly, therefore, the expression has the following form:

`y=kx`

Where
`k` is the constant of variation.

2. You have that
`x=6` and
`y=-(2)/(3)`, so, if you substitute these values and then you solve for the constant of variation, you obtain the following result:

`k=(y)/(x)\\k=(-(2)/(3))/(6)\\k=-(1)/(9)`

3. The answer is the first option.