Question

Suppose why varies directly as X, and y equals nine when X equals three seconds. Find while when asked equals one

Answer 1

Part 1)
`y=3`

Part 2)
`x=(1)/(3)`

Explanation:

The correct question is

1) Suppose y varies directly as x, and y equals nine when x equals three seconds. Find y when x equals one

2) Suppose y varies directly as x, and y equals nine when x equals three seconds. Find x when y equals one

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

Part 1) we have that

For x=3, y=9

Find the value of k

substitute the value of x and y

`k=(y)/(x)` ---->
`k=(9)/(3)=3`

the linear equation is

`y=3x`

so

For x=1

substitute in the linear equation and solve for y

`y=3(1)=3`

Part 2) we have that

For x=3, y=9

Find the value of k

substitute the value of x and y

`k=(y)/(x)` ---->
`k=(9)/(3)=3`

the linear equation is

`y=3x`

so

For y=1

substitute in the linear equation and solve for x

`1=3x`

Divide by 3 both sides

`x=(1)/(3)`