Question

the relationship between the amount of bleach and in courts and the amount of water in gallons of a certain cleaning product is a direct variation. the constant or variation is1/3

Answer 1

Let y be the amount of bleach and x be the amount of water. Since the relation between them is a proportional relation and the constant of proportionality is 1/3, then:

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

Since the amount of bleach used is 5 quarts, then y=5. Isolate x to find the amount of water needed:

$\begin{gathered} 5=\frac{1}{3}x \\ \Rightarrow x=5\times3 \\ \therefore x=15 \end{gathered}$

Therefore, 15 gallons of water are needed.