Question

1. find the unit rate from this graph.

miles
56
42
28
14
2 4 6 8
hours

Explanation:

Step1: Identify a point on the graph

Let's take the first point where hours = 1 (assuming the first dot is at 1 hour) and miles = 7? Wait, no, looking at the grid, when hours is 1, miles is 7? Wait, no, let's check the coordinates. Wait, the y - axis is miles, x - axis is hours. Let's take the point (1, 7)? Wait, no, maybe (2, 14)? Wait, when x = 3 (wait, no, the x - axis labels are 2, 4, 6, 8. Wait, the first dot is at x = 1 (since between 0 and 2), y = 7? Wait, no, let's look at the grid. Let's take the point (3, 21)? No, better to take a clear point. Let's take (2, 14)? Wait, no, the second dot is at x = 3? Wait, maybe the first dot is at (1, 7), second at (3, 21)? No, maybe the graph has points like (1, 7), (2, 14), (3, 21), (4, 28), (5, 35), (6, 42), (7, 49), (8, 56)? Wait, no, the dots are at x = 1 (miles = 7), x = 3 (miles = 21)? Wait, no, the x - axis is hours, with ticks at 2, 4, 6, 8. So the first dot is at x = 1 (1 hour), y = 7 miles? Wait, no, the y - axis has 14, 28, 42, 56. Wait, maybe the first dot is at (1, 7), second at (3, 21), third at (5, 35), fourth at (7, 49)? No, the given dots: let's see, the first dot is at x = 1 (between 0 and 2), y = 7 (between 0 and 14). The second dot is at x = 3 (between 2 and 4), y = 21 (between 14 and 28). The third dot is at x = 5 (between 4 and 6), y = 35? Wait, no, the problem's graph: let's take a point where we can calculate. Let's take (2, 14)? Wait, no, the x - axis is labeled 2, 4, 6, 8. So when x = 2, what's y? Wait, maybe the first dot is at (1, 7), second at (3, 21), third at (5, 35), fourth at (7, 49). Wait, but maybe a better point: let's take (8, 56). So time (hours) = 8, distance (miles) = 56.

Step2: Calculate unit rate (speed = distance/time)

Unit rate is distance per hour, so we use the formula $r=\frac{d}{t}$, where $d$ is distance and $t$ is time.
Using the point (8, 56), $d = 56$ miles, $t = 8$ hours.
So $r=\frac{56}{8}=7$ miles per hour.
We can check with another point. Let's take (1, 7): $\frac{7}{1}=7$, (3, 21): $\frac{21}{3}=7$, (5, 35): $\frac{35}{5}=7$, etc. So the unit rate is 7 miles per hour.

Answer:

7 miles per hour