Final answer:
To determine the time it takes for a robot to travel 11 feet, we use the equation d = vt to derive the time as t = d/v. Without the exact speed value, the specific time cannot be calculated, but the method involves dividing the total distance (11 feet) by the robot's speed.
Step-by-step explanation:
To find the equation that represents the distance d, in feet, that a robot travels in t seconds, we can use the relationship that distance = speed × time. Since the robot moves at a constant speed, we can determine this speed by looking at the table of values provided.
To find the speed, we would divide the distance by time for any point in the table. If no table is provided, we'll assume a generic speed v.
The equation for the robot's movement then is d = vt. To find how many seconds it takes for the robot to travel 11 feet, we rearrange the equation to solve for t, yielding t = d/v.
Substituting in the distance (11 feet), we get t = 11/v. Without knowing the exact speed v, we can't solve for t; however, if we knew v, we'd divide 11 by this speed to find the time in seconds.