The graph shows the distance cars A and B travel.
Which statement is true about the unit rates shown in the graph?
The unit rate for car B is greater because the slope is less than the slope for car A.
The unit rate for car A is greater because the slope is less than the slope for car B.
The unit rate for car A is greater because the slope is greater than the slope for car B.
The unit rate for car B is greater because the slope is greater than the slope for car A.
No graph. Cannot copy and paste here.
To determine the unit rates based on the slopes of the lines shown in the graph, we need to examine the relationship between the distance traveled and the time taken by both cars.
Given the options provided, neither of them accurately describe the relationship between the slopes and the unit rates of the cars. The correct statement should be:
The unit rate for car A is greater because the slope is greater than the slope for car B.
Generally, a steeper slope indicates a larger change in the vertical (y-axis) variable over a given change in the horizontal (x-axis) variable. In the context of this graph, the steeper slope of car A indicates that it is covering more distance in a given amount of time compared to car B, thus implying a higher unit rate.
To determine the unit rates of cars A and B, we need to calculate the slope of their respective lines on the graph. The slope is a measure of how steep a line is and can be calculated by dividing the change in distance by the change in time.
To find the slope for car A, we look at the line on the graph representing car A's travel. The change in distance is the vertical distance between two points on the line, and the change in time is the horizontal distance between the same two points. By dividing the change in distance by the change in time, we can find the slope of car A's line.
Next, we repeat the same process for car B's line. The slope for car B is calculated by dividing the change in distance by the change in time for car B.
Comparing the slopes of car A and car B will allow us to determine which statement is true about the unit rates shown in the graph.
If the unit rate for car A is greater than the unit rate for car B, it means car A is covering more distance in the same amount of time. This would indicate that car A is traveling faster than car B.
If the unit rate for car B is greater than the unit rate for car A, it means car B is covering more distance in the same amount of time. This would indicate that car B is traveling faster than car A.
Therefore, in order to answer the question, we need to compare the slopes of car A and car B. The statement, "The unit rate for car A is greater because the slope is greater than the slope for car B" suggests that car A is traveling faster.