Question

1. a local meteorologist measured the rain during a storm and recorded it on a graph. at what rate did the rain fall? a) $\frac{1}{2}$ cm per hour b) $1\frac{1}{2}$ cm per hour c) 2 cm per hour d) 4 cm per hour

Explanation:

Step1: Identify two points on the line

Let's take two points $(0,0)$ and $(2,4)$ from the graph.

Step2: Use the slope - formula

The slope formula for a line is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 0,x_2=2,y_2 = 4$. Then $m=\frac{4 - 0}{2 - 0}$.

Step3: Calculate the slope

$m=\frac{4}{2}=2$. The slope of the line representing the rain - fall is the rate at which the rain falls. So the rate of rain fall is 2 cm per hour.

Answer:

c) 2 cm per hour