Question

hw 11.1_inverse variation
score: 4/14 answered: 4/14
question 13
the variables x and y vary inversely. use the given values to write an equation relating x and y. then find
y when x = 3.
x = 1, y = 9
equation:

y =

Explanation:

Step1: Recall inverse variation formula

Inverse variation follows $y = \frac{k}{x}$ where $k$ is the constant of variation.

Step2: Solve for constant $k$

Substitute $x=1, y=9$ into the formula:
$9 = \frac{k}{1}$
$k = 9\times1 = 9$

Step3: Write the inverse variation equation

Substitute $k=9$ back into $y = \frac{k}{x}$:
$y = \frac{9}{x}$

Step4: Find $y$ when $x=3$

Substitute $x=3$ into the equation:
$y = \frac{9}{3} = 3$

Answer:

equation: $y = \frac{9}{x}$
$y = 3$