Question

1. find the unit rate in the graph below.

a. 9 miles per hour
b. 4.5 miles per hour
c. 3 miles per hour
d. 1.5 miles per hour

Explanation:

Step1: Identify two points on the line

From the graph, we can take the point (2, 9) or (4, 18) or (6, 27). Let's take (2, 9) where time (x) is 2 hours and distance (y) is 9 miles.

Step2: Calculate the unit rate (slope)

The unit rate is the slope of the line, which is calculated as $\frac{\text{change in } y}{\text{change in } x}$. Using the point (2, 9), the slope $m=\frac{9 - 0}{2 - 0}=\frac{9}{2} = 4.5$ miles per hour. We can also check with another point, say (4, 18): $\frac{18 - 0}{4 - 0}=\frac{18}{4}=4.5$ miles per hour.

Answer:

B. 4.5 miles per hour