Estimating Distance Traveled Using Rectangular Approximation Methods

The video tutorial explains how to estimate the distance traveled by a vehicle using speedometer readings at 14-second intervals. It covers three methods: L6 (using left endpoints), R6 (using right endpoints), and M3 (using midpoints) to approximate the area under the curve, which represents the distance traveled. Each method involves calculating the area of rectangles formed under the curve and summing them to estimate the total distance.

What is the purpose of using L6, R6, and M3 methods in this context?

• To find the average speed of the vehicle

• To determine the fuel efficiency of the vehicle

• To estimate the distance traveled by the vehicle

• To calculate the exact speed of the vehicle

In the L6 method, what is used to determine the height of each rectangle?

• The average of the endpoints

• The right endpoint of each sub-interval

• The left endpoint of each sub-interval

• The midpoint of each sub-interval

How many sub-intervals are used in the L6 method?

• Five

• Three

• Four

• Six

What is the approximate distance calculated using the L6 method?

• 2,352 feet

• 2,660 feet

• 2,856 feet

• 3,000 feet

In the R6 method, which point is used to determine the height of each rectangle?

• The right endpoint of each sub-interval

• The midpoint of each sub-interval

• The left endpoint of each sub-interval

• The average of the endpoints

What is the approximate distance calculated using the R6 method?

• 2,660 feet

• 2,352 feet

• 2,856 feet

• 3,000 feet

How many sub-intervals are used in the M3 method?

• Five

• Four

• Six

• Three

In the M3 method, what is used to determine the height of each rectangle?

• The average of the endpoints

• The right endpoint of each sub-interval

• The midpoint of each sub-interval

• The left endpoint of each sub-interval

What is the approximate distance calculated using the M3 method?

• 2,856 feet

• 3,000 feet

• 2,660 feet

• 2,352 feet

Which method resulted in the largest estimated distance?

• All methods gave the same result

• M3 method

• R6 method

• L6 method