Plz help!!!! The JayC dealership tracks its car sales based on the type of car. The graph shows the percent of sales that were Hybrid Electric Vehicles (HEV) for the years (2010–2015).
Explain what year is represented by an x-value of 3 on the graph.
Write the equation of the line of best fit in the graph. Define your variables and include the units.
What does the slope of the line represent in this problem situation?
hard to say, with no graph.
I suspect, though, that x=3 means the year 2013.
As with any line, the slope is the rate of change -- in this case the average yearly sales increase.
The equation will be of the form y = mx+b
where b is the y-intercept.
Use any point on the line to figure out the slope m.
To determine which year is represented by an x-value of 3 on the graph, we need to understand the x-axis values that are being used. If the x-axis represents the years 2010 to 2015, then we can calculate the corresponding year for an x-value of 3.
The x-axis represents the years, and the y-axis represents the percent of sales that were Hybrid Electric Vehicles (HEV). So, each point on the graph corresponds to a specific year and the corresponding percentage of HEV sales.
To find the year corresponding to an x-value of 3, we need to determine the time interval between each year on the x-axis. Since the x-axis represents the years from 2010 to 2015, the total interval is 5 years (2015-2010 = 5).
Next, we divide this interval by the number of intervals between year values on the x-axis. If the intervals are evenly spaced, we divide the total interval (5 years) by the number of intervals (in this case, 6 because there are 6 years represented on the x-axis).
The result is the length of each interval. In this case, each interval represents 5/6 years, or approximately 0.8333 years (5 divided by 6).
Now we can determine the year corresponding to an x-value of 3. Since the x-values start at 0, we add the length of each interval (0.8333 years) for each additional unit on the x-axis.
For an x-value of 3, the corresponding year is calculated by adding 3 units (3 * 0.8333) to the starting year of 2010:
2010 + (3 * 0.8333) = 2012 (approximately)
Therefore, an x-value of 3 on the graph represents the year 2012.
Regarding the equation of the line of best fit on the graph, we need additional information such as the specific data points plotted on the graph. Without the data points, it is not possible to determine the equation of the line.
However, in general, the equation of a line of best fit can be written in slope-intercept form (y = mx + b), where 'm' represents the slope of the line and 'b' represents the y-intercept.
In this problem situation, the slope of the line of best fit would represent the rate of change of the percentage of HEV sales per year. Since the y-axis represents the percentage of HEV sales, the slope would provide an indication of how the percentage changes from year to year. A positive slope would suggest an increase in the percentage of HEV sales over time, while a negative slope would suggest a decrease.