Question

1. find the unit rate from this graph.

graph with miles on y - axis (15, 30, 45, 60) and hours on x - axis (2, 4, 6, 8), with points at (2,15), (4,30), (6,45), (8,60)

Explanation:

Step1: Identify a point on the graph

We can take the point (2, 15) where 2 is hours and 15 is miles.

Step2: Calculate unit rate (miles per hour)

Unit rate is miles divided by hours. So, $\frac{15}{2} = 7.5$? Wait, no, wait another point. Wait, (4, 30): $\frac{30}{4} = 7.5$? Wait, no, (2,15): 15 miles in 2 hours. Wait, no, maybe I misread. Wait, the y - axis is miles, x - axis is hours. Let's check the first point: when x = 2, y = 15. So rate is $\frac{y}{x}=\frac{15}{2}=7.5$? Wait, no, wait another point: x = 4, y = 30. $\frac{30}{4}=7.5$. x = 6, y = 45: $\frac{45}{6}=7.5$. x = 8, y = 60: $\frac{60}{8}=7.5$. So the unit rate is 7.5 miles per hour. Wait, but maybe I made a mistake. Wait, 15 miles in 2 hours: unit rate is miles per hour, so 15/2 = 7.5. Yes, that's correct.

Answer:

The unit rate is 7.5 miles per hour (or 15/2 miles per hour, which is 7.5).