Answer:
Options (B), (D), and (E) are correct.
Step-by-step explanation:
The given best fit curve for the collected data is
Where x is the number of hours spent driving and y is the distance of distributer, in miles, from the retailer.
As the driver starts recording the time when he starts from the retailer, so at the starting time, x=0, the driver is at the retailer.
So, putting x=0 in the given equation (i) to get the distance between the distributor and retailer, we have
miles.
So, the distributor is 73.6 miles away from the retailer.
From equation (i), as x (time) increases the value of y (distance) decreases.
So, The distance from the retailer decreases with time.
Now, obtaining the rate of change the distance,y, from quation (i), with respect to time,x, to get the speed of the truck, we have
mile/hour
Negative sign shows that the distance is decreasing, taking the magnitude of the rate of change of distance with respect to time to get the speed,
speed miles/hour
So, the speed of the truck is 67.8 miles per hour.
Hence, options (B), (D), and (E) are correct.