Final answer:
The unit rate on a graph that goes through the origin can be found by determining the slope of the line. Choose two points on the line and use the formula for slope to calculate the unit rate.
Step-by-step explanation:
The unit rate on a graph that goes through the origin can be found by determining the slope of the line. Since the graph passes through the origin, any two points on the line can be used to find the slope. You can choose any two points on the line, but it is generally more accurate to use widely separated points.
- Choose two points on the line labeled on the graph, such as (6.4 s, 2000 m) and (0.50 s, 525 m).
- Use the formula for slope: slope = (y2 - y1) / (x2 - x1).
- Substitute the coordinates of the two points in the formula and calculate the slope.
The resulting slope will be the unit rate of the graph.