Question

how much do you grow in 5 months?

1. a fruit punch has a ratio of 2 cups of powder mix for every 5 gallons of water.

a. represent the ratio relationship using a graph.

b. how many cups of powder mix are used with 9 gallons of water?

Explanation:

Step1: Define the proportional relationship

Let $x$ = gallons of water, $y$ = cups of powder mix. The ratio gives $\frac{y}{x} = \frac{2}{5}$, so $y = \frac{2}{5}x$.

Step2: Solve for $x=9$

Substitute $x=9$ into the equation.
$y = \frac{2}{5} \times 9$

Step3: Calculate the value

$y = \frac{18}{5} = 3.6$

For part a (graph explanation):

The graph is a straight line passing through the origin $(0,0)$ with slope $\frac{2}{5}$. Plot points like $(0,0)$, $(5,2)$, $(10,4)$, then draw a line through them. The x-axis is labeled "Gallons of Water" and the y-axis is labeled "Cups of Powder Mix".

Answer:

a. A straight line through the origin with slope $\frac{2}{5}$, plotting points such as (0,0), (5,2), (10,4), with x-axis = Gallons of Water and y-axis = Cups of Powder Mix.
b. 3.6 cups (or $\frac{18}{5}$ cups) of powder mix.