Question

hw 11.1_inverse variation
score: 8/14 answered: 8/14
question 5
suppose z varies inversely with t and that z = 30 when t = 9. what is the value of z when t = 6?
z =
question help: video

Explanation:

Step1: Define inverse variation formula

$z = \frac{k}{t}$, where $k$ is the constant of variation.

Step2: Solve for constant $k$

Substitute $z=30$, $t=9$:
$30 = \frac{k}{9}$
$k = 30 \times 9 = 270$

Step3: Find $z$ when $t=6$

Use $k=270$, $t=6$:
$z = \frac{270}{6}$

Answer:

45