Question

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fatoumata is making lemonade from concentrate. the relationship between the number of quarts of concentrate, ( x ), and the number of quarts of water, ( y ), is represented by the graph below.

what is the constant of proportionality as shown in the graph?

graph omitted here, with axes: x - amount of concentrate (in quarts), y - amount of water (in quarts), a line through the origin

answer
options (partially visible, likely fractions or decimals) and a submit answer button

Explanation:

Step1: Recall proportionality formula

For a proportional relationship $y = kx$, where $k$ is the constant of proportionality, so $k = \frac{y}{x}$.

Step2: Pick a point from the graph

Choose a clear point, e.g., when $x=0.5$, $y=0.6$.

Step3: Calculate $k$

Substitute values into $k = \frac{y}{x}$:
$k = \frac{0.6}{0.5} = \frac{6}{5}$

Answer:

$\frac{6}{5}$