Question

this graph shows the gallons of water leaked are proportional to the time in hours. find the constant of proportionality.
water leak
gallons of water
time (hours)
enter the constant of proportionality.

Explanation:

Step1: Recall Proportionality Formula

For a proportional relationship \( y = kx \), the constant of proportionality \( k \) is \( k=\frac{y}{x} \), where \( y \) is gallons of water, \( x \) is time in hours.

Step2: Pick a Point from Graph

From the graph, when \( x = 1 \) hour, \( y = 60 \) gallons (or check \( x = 2 \), \( y = 120 \); \( \frac{120}{2}=60 \), etc.).

Step3: Calculate Constant \( k \)

Using \( k=\frac{y}{x} \), with \( x = 1 \), \( y = 60 \), we get \( k=\frac{60}{1}=60 \).

Answer:

60