Question

suppose that x and y vary inversely and x = 1 when y = 9. write a function that models the inverse variation. graph the function and find y when x = 20.

write a function that models the inverse variation.
y = \\(\frac{9}{x}\\) (simplify your answer.)

graph the function. choose the correct graph below.

(images of graphs are shown here)

find y when x = 20.
y = \\(\square\\) (type an integer or a decimal.)

Explanation:

Step1: Recall the inverse variation function

The inverse variation function is given as \( y = \frac{9}{x} \).

Step2: Substitute \( x = 20 \) into the function

To find \( y \) when \( x = 20 \), we substitute \( x = 20 \) into the function \( y=\frac{9}{x} \). So we have \( y=\frac{9}{20} \).

Step3: Calculate the value

\( \frac{9}{20}= 0.45 \).

Answer:

\( 0.45 \)