The table represents the number of hours a limousine is rented and the total cost including a flat rental fee in cost per hour. 3 hours $270, 5 hours $410, 7 hours $550, 9 hours $690. What is the meaning of the slope for the data set?
(x1,y1)->(3,270)
(x2,y2)->(5,410)
m = y2-y1/x2-x1 = 410-270/5-3 = 140/2 = 70
This means that you pay $70 for every hour you rent for the limousine. On top of that, you'll need to pay an additional $60 flat fee.
To find the meaning of the slope for a data set, we need to examine the relationship between the variables involved. In this case, the variables are the number of hours a limousine is rented (independent variable) and the total cost including a flat rental fee (dependent variable).
We can calculate the slope using the formula:
Slope = (change in y) / (change in x)
Let's calculate the slope using two points from the given data set:
Points: (3, $270) and (5, $410)
Change in x = 5 - 3 = 2
Change in y = $410 - $270 = $140
Slope = (change in y) / (change in x)
Slope = 140 / 2
Slope = 70
The slope of 70 means that for every additional hour the limousine is rented, the total cost including the flat rental fee increases by $70.
To find the meaning of the slope for the given data set, you need to understand that the slope represents the rate of change between two variables. In this case, the variables are the number of hours the limousine is rented and the total cost.
To calculate the slope, you can choose any two points from the data set and apply the formula:
slope = (change in y)/(change in x)
Let's take the points (3, $270) and (9, $690) from the data set:
change in y = $690 - $270 = $420
change in x = 9 - 3 = 6
Now, substitute these values into the formula:
slope = $420/6 = $70
Therefore, the slope of the data set is $70. This means that for every additional hour, the cost increases by $70.
In conclusion, the meaning of the slope for this data set is that the cost per additional hour of renting the limousine increases by $70.