Question

1. higher order thinking you use a garden hose to fill a wading pool. if the water level rises 11 centimeters every 5 minutes and you record the data point of (10, y), what is the value of y? use slope to justify your answer.

Explanation:

Step1: Find the rate of change (slope)

The water - level rises 11 cm every 5 minutes. So the slope $m=\frac{\text{change in water - level}}{\text{change in time}}=\frac{11}{5}$ cm per minute.

Step2: Set up a proportion

We know that the slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Assuming the starting point is $(0,0)$ (when $x = 0$ minutes, $y = 0$ cm), and we have another point $(x,y)=(10,y)$. Then $\frac{y - 0}{10 - 0}=\frac{11}{5}$.

Step3: Solve for y

Cross - multiply the proportion $\frac{y}{10}=\frac{11}{5}$. We get $5y=11\times10$. Then $5y = 110$, and $y=\frac{110}{5}=22$.

Answer:

22