00:01
Hello students, there is an exact linear association.
00:05
There is an exact linear association in this situation because the relationship between the number of gallons of gasoline remaining in the tank g and the number of miles driven d is a linear one.
00:26
That is in this situation, we can say that as the person drives as the person drives more miles the amount of the amount of gasoline used increases linearly at a constant rate 0 .02 gallons per mile.
01:12
Now the g -intercept of the model represents the initial amount of gasoline in the tank when the trip starts.
01:22
So in this case the person fills up the 12 .6 gallon tank at the beginning of the trip.
01:31
So the g -intercept, the g -intercept is 12 .6 gallons.
01:44
This means that when the person has not driven any miles that is d equal to 0, there are 12 .6 gallons of gasoline in the tank.
01:53
To find the equation for the model, we can use the point slope form.
01:59
So the g -intercept, g -intercept is equal to slope into d minus 0 where g is the number of gallons.
02:16
This is g multiplied by g -intercept where g is the number of gallons of gasoline remaining.
02:40
G -intercept is the initial amount, g -intercept is the initial amount of gasoline in the tank and slope is the rate of gasoline consumption per mile...