ervin sells vintage cars. every three months, he manages to sell 13 cars. assuming he sells cars at a constant rate, what is the slope of the line that represents this relationship if time in months is along the x-axis and the number of cars sold is along the y-axis?
the slope is the rate of sales, in cars/month. So, just use the numbers given:
13cars/3months = 13/3 cars/month
The slope is 13/3
To find the slope of the line that represents the relationship between time (in months) and the number of cars sold, we need to determine the change in the y-axis variable (number of cars) for a fixed change in the x-axis variable (time in months).
In this case, we know that every three months, Ervin manages to sell 13 cars. This means that for every three-month interval, the number of cars sold increases by 13.
Let's choose two points on the line to calculate the slope. We can start with the point (0, 0) and another point (3, 13), which represents the number of cars sold after three months.
Using the formula for slope (m) which is given by:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates, we get:
m = (13 - 0) / (3 - 0)
m = 13 / 3
Thus, the slope of the line representing Ervin's sales is 13/3.
To find the slope of the line representing this relationship, we need to determine the change in the number of cars sold for every unit change in time.
Since Ervin sells 13 cars every three months, we can calculate the slope as follows:
Change in y-axis (number of cars) = 13 cars
Change in x-axis (time in months) = 3 months
Now we can calculate the slope using the formula:
Slope = Change in y-axis / Change in x-axis
Slope = 13 cars / 3 months
Slope = 4.33 cars/month
Therefore, the slope of the line representing this relationship is 4.33 cars/month.