Question

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

Answer 1

Answer:

Part 1) $y=3$

Part 2) $x=\frac{1}{3}$

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 $k=\frac{y}{x}$ 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

$k=\frac{y}{x}$ ----> $k=\frac{9}{3}=3$

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

$k=\frac{y}{x}$ ----> $k=\frac{9}{3}=3$

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

$x=\frac{1}{3}$