# The Bucket Project

## Our Explanation

We averaged out the times of two cups to get an average of 37.075 seconds over all. To get this we took two sets of data from two days. We averaged each day and the total difference was .71. Day 1 average was 37.43 with 18 cups and Day 2 average was 36.72 with 36 cups. We took these averages and averaged them again and got 37.075. After we found the average we set up an equation, which was (n cups) (average) = time. We multiplied 37.075 (our average) by 24 cups. We used 24 because there are 48 cups in 3 gallons,and we measured the time every 2 cups. We got 3 gallons because the bucket was approximately 15 1/2 inches from bottom to top, and 9 1/2 inches from bottom to the line. Then we figured out that are both divisible by 3, therefore there is approximately 3 gallons of water in the bucket. Our educated guess us 15 minutes and 23 seconds.

On Day 1's graph and data the first four tries it was a steady increase, until 5. On 5 we went back almost a second. Then through tries, 6-9, the time increased dramatically. The average was 37.43.

On Day 2's graph/data the time increased at a steady rate until try 10. On try ten we lost .97 seconds. On try 11 and 12 the time increased at a steady rate. Try 13-18 the time grew at an inconstant rate. The total average was 36.72 seconds.

## Bucket Dimensions

Bottom to Line: 9 1/2 inches

Hole to Bottom: 1/2 inch

Bottom to Top: 15 1/2

Approximately 3 gallons

## Day 1

• 1st try: 2 cups = 29.25 sec.
• 2nd try: 2 cups = 29.36 sec.
• 3rd try: 2 cups = 30.53 sec.
• 4th try: 2 cups = 33.13 sec.
• 5th try: 2 cups = 32.17 sec.
• 6th try: 2 cups = 35.41 sec.
• 7th try: 2 cups = 41.12 sec.
• 8th try: 2 cups = 47.56 sec.
• 9th try: 2 cups = 58.35 sec.
• Average: 37.43 sec.

## Day 2

• 1st try: 2 cups = 19.71 sec.
• 2nd try: 2 cups = 20.26 sec.
• 3rd try: 2 cups = 21 sec.
• 4th try: 2 cups = 22.13 sec.
• 5th try: 2 cups = 24.03 sec.
• 6th try: 2 cups = 24.30 sec.
• 7th try: 2 cups = 24.88 sec.
• 8th try: 2 cups = 27.05 sec.
• 9th try: 2 cups = 27.98 sec.
• 10th try: 2 cups = 27.01 sec.
• 11th try: 2 cups = 29.06 sec.
• 12th try: 2 cups = 31.50 sec.
• 13th try: 2 cups = 36.93 sec.
• 14th try: 2 cups = 40.16 sec.
• 15th try: 2 cups = 47.13 sec.
• 16th try: 2 cups = 57.43 sec.
• 17th try: 2 cups = 1 min. 15 sec.
• 18th try: 1 1/4 cups = 2 min. 17 sec.
• Average: 36.72 sec.