Question

write an equation to represent the proportional relationshipnote use x for the independent variable and why for the dependent variable for the questiona factory produces three bottles of sparkling water for every eight bottles of plain water. how many bottles of sparkling water does the company produce when it produces 600 bottles of plain water?

Answer 1

Use the ratio given in the statement to find the equation that represents the proportional relationship:

$\begin{gathered} \frac{8}{3}=\frac{x}{y} \\ 8y=3x \end{gathered}$

Now, replace for the given value and find y. (x represents the number of bottles of plain water and y the number of bottles of sparkling water).

$\begin{gathered} 8y=3\cdot600 \\ y=\frac{1800}{8} \\ y=225 \end{gathered}$

The company produces 225 bottles of sparkling water when it produces 600 bottles of plain water.