A botanist is a person who studies plants. Mr. Moss is a botanist who is studying a type of bamboo that can grow 1.2 to 3.9 inches every twenty-four hours. Mr. Moss has two pots with a stem of bamboo in each pot. Each stem of bamboo is four feet in height. Mr. Moss wants to measure the height of each stem every twenty-four hours for a week as accurately as he can. Mr. Moss records the growth of each stem. Mr. Moss lists his data:
Stem in pot one—2.878 inches on day one, 1.623 inches on day two, 2.999 inches on day three, 3.319 inches on day four, 1.537 inches on day five, 3.745 inches on day six, 2.153 inches on day seven. Stem in pot two—1.585 inches on day one, 2.307 inches on day two, 1.296 inches on day three, 4.121 inches on day four, 1.742 inches on day five, 2.418 inches on day six, 3.639 inches on day seven.
Mr. Moss organizes his bamboo growth data and then uses the greater than, less than, equal symbols to make four observations. Show how Mr. Moss could represent his data. What four observations could Mr. Moss make about his data using the greater than, less than, equal symbols? Show all your mathematical thinking. Plss Help
Sure, Mr. Moss can organize his data and make the following observations:
Observation 1: Stem in pot one's growth:
- On day one: 2.878 inches
- On day two: 1.623 inches
- On day three: 2.999 inches
- On day four: 3.319 inches
- On day five: 1.537 inches
- On day six: 3.745 inches
- On day seven: 2.153 inches
Observation 2: Stem in pot two's growth:
- On day one: 1.585 inches
- On day two: 2.307 inches
- On day three: 1.296 inches
- On day four: 4.121 inches
- On day five: 1.742 inches
- On day six: 2.418 inches
- On day seven: 3.639 inches
To compare the growth rates of the two stems, Mr. Moss can use the greater than ( > ), less than ( < ), and equal to ( = ) symbols. Here are four observations he can make:
Observation 1: Stem in pot one's growth compared to stem in pot two's growth:
- On day one: 2.878 inches < 1.585 inches
- On day two: 1.623 inches < 2.307 inches
- On day three: 2.999 inches > 1.296 inches
- On day four: 3.319 inches < 4.121 inches
- On day five: 1.537 inches < 1.742 inches
- On day six: 3.745 inches > 2.418 inches
- On day seven: 2.153 inches < 3.639 inches
Observation 2: Both stems grew more than 1 inch on day one:
- On day one: Stem in pot one's growth = 2.878 inches
Stem in pot two's growth = 1.585 inches
(Both greater than 1 inch)
Observation 3: Stem in pot two had the greatest growth on day four:
- On day four: Stem in pot one's growth = 3.319 inches
Stem in pot two's growth = 4.121 inches
(Stem in pot two > Stem in pot one)
Observation 4: Stem in pot one had the greatest growth on day six:
- On day six: Stem in pot one's growth = 3.745 inches
Stem in pot two's growth = 2.418 inches
(Stem in pot one > Stem in pot two)
I hope this helps, and remember to always keep a sense of humor while studying bamboo!
To organize the bamboo growth data, Mr. Moss can create a table as follows:
| Day | Pot 1 Stem Height (inches) | Pot 2 Stem Height (inches) |
|------|----------------------------|----------------------------|
| Day 1 | 2.878 | 1.585 |
| Day 2 | 1.623 | 2.307 |
| Day 3 | 2.999 | 1.296 |
| Day 4 | 3.319 | 4.121 |
| Day 5 | 1.537 | 1.742 |
| Day 6 | 3.745 | 2.418 |
| Day 7 | 2.153 | 3.639 |
Now, let's make the observations using the greater than (>), less than (<), and equal to (=) symbols:
Observation 1: On day 1, the stem height in pot 1 is greater than the stem height in pot 2.
2.878 > 1.585
Observation 2: On day 2, the stem height in pot 1 is less than the stem height in pot 2.
1.623 < 2.307
Observation 3: On day 3, the stem height in pot 1 is greater than the stem height in pot 2.
2.999 > 1.296
Observation 4: On day 4, the stem height in pot 1 is less than the stem height in pot 2.
3.319 < 4.121
These observations can be summarized as:
Observation 1: Stem height in pot 1 > Stem height in pot 2
Observation 2: Stem height in pot 1 < Stem height in pot 2
Observation 3: Stem height in pot 1 > Stem height in pot 2
Observation 4: Stem height in pot 1 < Stem height in pot 2
To represent the data and make observations using the greater than (>), less than (<), and equal to (=) symbols, we need to compare the measurements of each stem on different days.
Let's organize the data first:
Stem in pot one:
Day one: 2.878 inches
Day two: 1.623 inches
Day three: 2.999 inches
Day four: 3.319 inches
Day five: 1.537 inches
Day six: 3.745 inches
Day seven: 2.153 inches
Stem in pot two:
Day one: 1.585 inches
Day two: 2.307 inches
Day three: 1.296 inches
Day four: 4.121 inches
Day five: 1.742 inches
Day six: 2.418 inches
Day seven: 3.639 inches
Now, let's make the observations using the comparison symbols:
Observation 1: Stem one on day three (2.999 inches) is greater than stem one on day two (1.623 inches).
2.999 > 1.623
Observation 2: Stem one on day six (3.745 inches) is equal to stem one on day four (3.319 inches).
3.745 = 3.319
Observation 3: Stem one on day five (1.537 inches) is less than stem one on day three (2.999 inches).
1.537 < 2.999
Observation 4: Stem two on day four (4.121 inches) is greater than stem two on day one (1.585 inches).
4.121 > 1.585
So, Mr. Moss could represent his data by comparing the measurements using the greater than, less than, and equal symbols.