Translate the given formula to an English phrase using the word "varies".
-$\mathrm { y }$ varies directly as $\mathrm { z }$ and $\mathrm { y } = 150$ when $\mathrm { z } = 10$. Find $\mathrm { y }$ when $\mathrm { z }$ is 16 .
A) 225
B) 240
C) 100
D) 256

Question

Quizplus · Accepted Answer

The phrase "y varies directly as z" means y is directly proportional to z, which can be written as $y = kz$, where $k$ is the constant of proportionality. Given $y = 150$ when $z = 10$, we find $k = 150 / 10 = 15$. To find $y$ when $z = 16$, substitute $z = 16$ into $y = kz$, yielding $y = 15 \times 16 = 240$.

Translate the Given Formula to an English Phrase Using the Word