Answer:
Part 1) [tex]y=3[/tex]
Part 2) [tex]x=\frac{1}{3}[/tex]
Step-by-step 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 [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
Part 1) we have that
For x=3, y=9
Find the value of k
substitute the value of x and y
[tex]k=\frac{y}{x}[/tex] ----> [tex]k=\frac{9}{3}=3[/tex]
the linear equation is
[tex]y=3x[/tex]
so
For x=1
substitute in the linear equation and solve for y
[tex]y=3(1)=3[/tex]
Part 2) we have that
For x=3, y=9
Find the value of k
substitute the value of x and y
[tex]k=\frac{y}{x}[/tex] ----> [tex]k=\frac{9}{3}=3[/tex]
the linear equation is
[tex]y=3x[/tex]
so
For y=1
substitute in the linear equation and solve for x
[tex]1=3x[/tex]
Divide by 3 both sides
[tex]x=\frac{1}{3}[/tex]
