Question

1. find the unit rate from this graph.

miles
80
60
40
20
hours
2 4 6 8

Explanation:

Step1: Identify two points on the graph

We can take the points (2, 20), (4, 40), (6, 60), or (8, 80). Let's use (2, 20) and (8, 80) for calculation.

Step2: Calculate the unit rate (slope)

The formula for unit rate (slope) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(\frac{y_2 - y_1}{x_2 - x_1}\).
Using \((x_1 = 2,y_1 = 20)\) and \((x_2 = 8,y_2 = 80)\), we have \(\frac{80 - 20}{8 - 2}=\frac{60}{6} = 10\).
We can also check with (2,20): \(\frac{20}{2}=10\) (miles per hour).

Answer:

The unit rate is 10 miles per hour.