The graph below represents the Massachusetts speeding fine for each mile per hour over the speed limit. What does the slope tell you about the speeding fine system in Massachusetts? (the y is 50 the x is 10)
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To determine what the slope tells us about the speeding fine system in Massachusetts, we need to understand how the graph is plotted and interpret the slope.
The graph shows a relationship between the number of miles per hour over the speed limit (x-axis) and the corresponding fine amount (y-axis). The slope indicates the change in the y-coordinate (fine amount) for each unit change in the x-coordinate (mph over the speed limit).
In this case, with a y-coordinate value of 50 and an x-coordinate value of 10, we can calculate the slope as follows:
Slope = (change in y-coordinate) / (change in x-coordinate)
= (50 - 0) / (10 - 0)
= 50 / 10
= 5
The slope in this case is 5. Therefore, for each additional mile per hour over the speed limit, the fine amount increases by $5. This indicates a linear fine system in Massachusetts, where the fine amount increases at a constant rate for each unit change in the mph over the speed limit.
To determine what the slope tells us about the speeding fine system in Massachusetts, we need to examine the graph and understand how slope relates to the variables involved.
The slope of a graph represents the rate of change between two variables. In this case, the x-axis represents the number of miles per hour over the speed limit, and the y-axis represents the corresponding fine amount.
Given that the x-coordinate is 10 and the y-coordinate is 50, we can calculate the slope using the formula:
slope = (change in y-coordinate) / (change in x-coordinate)
Since the y-coordinate remains constant at 50, the change in y-coordinate is 0. Therefore, the slope can be calculated as:
slope = 0 / (change in x-coordinate)
Without knowing the change in the x-coordinate, we cannot determine the specific slope or rate of change.
However, in general, if the slope is positive, it would indicate that as the speed increases, the fine amount also increases. Conversely, if the slope is negative, it would suggest that as the speed increases, the fine amount decreases.
In conclusion, without knowing the change in the x-coordinate, we cannot determine the specific impact of the slope on the speeding fine system in Massachusetts.