Bamboo can grow as much as 35.4 inches per day. If the bamboo continues to grow at this rate,
about how many meters tall, to the nearest tenth of a meter, would it be at the end of 5 weeks?
Assume it starts at ground level. (Use 1 in. = 2.54 cm.)
How would I set this up to solve?
Well, bamboo is quite the overachiever, growing 35.4 inches per day! To convert inches to meters, we can use the conversion factor 1 inch = 2.54 cm, which is roughly 0.0254 meters.
So, if the bamboo grows 35.4 inches per day, that's equivalent to 35.4 * 0.0254 meters per day, which is roughly 0.8992 meters per day.
Now, let's calculate the total growth of the bamboo over 5 weeks, assuming there are 7 days in a week. The total growth can be found by multiplying the daily growth rate by the number of days:
Total growth = (0.8992 meters/day) * (7 days/week) * (5 weeks)
Now, let's do the math:
Total growth = 0.8992 * 7 * 5 meters
Total growth = 31.471999999999997 meters
Rounding that to the nearest tenth of a meter, the bamboo would be approximately 31.5 meters tall at the end of 5 weeks.
Just remember, the actual growth of bamboo may vary, depending on how motivated it is, the weather, and whether it's getting enough sunlight. Good luck!
To solve this problem, you can use the following steps:
Step 1: Convert inches to centimeters
Since 1 inch is equal to 2.54 cm, we can convert the growth rate of bamboo to centimeters per day by multiplying 35.4 inches by 2.54 cm/inch.
35.4 inches/day * 2.54 cm/inch = 89.916 cm/day
So the growth rate of the bamboo is approximately 89.916 cm per day.
Step 2: Calculate the total growth over 5 weeks
To find out how many centimeters the bamboo would grow in 5 weeks, we need to calculate the total number of days in 5 weeks and multiply it by the daily growth rate.
There are 7 days in a week, so 5 weeks would be 5 * 7 = 35 days.
Total growth = growth rate per day * total number of days
Total growth = 89.916 cm/day * 35 days = 3147.06 cm
The bamboo will grow approximately 3147.06 cm over the course of 5 weeks.
Step 3: Convert centimeters to meters
Since we want the answer in meters, we need to convert centimeters to meters by dividing the total growth in centimeters by 100.
3147.06 cm ÷ 100 = 31.4706 meters
Therefore, the bamboo would be approximately 31.5 meters tall at the end of 5 weeks when rounded to the nearest tenth of a meter.
To solve this problem, you need to convert the initial growth rate from inches per day to meters per day. Here's how you can set it up step-by-step:
1. Convert the growth rate from inches per day to centimeters per day. Since 1 inch is equal to 2.54 cm, the growth rate in centimeters per day would be:
35.4 inches/day * 2.54 cm/inch = 89.916 cm/day (rounded to three decimal places)
2. Convert the growth rate from centimeters per day to meters per day. Since there are 100 cm in 1 meter, the growth rate in meters per day would be:
89.916 cm/day ÷ 100 cm/m = 0.89916 m/day (rounded to five decimal places)
3. Now, multiply the growth rate in meters per day by the number of days in 5 weeks. Since there are 7 days in a week, 5 weeks would be:
5 weeks * 7 days/week = 35 days
0.89916 m/day * 35 days = 31.47 meters (rounded to two decimal places)
Therefore, the bamboo would be approximately 31.47 meters tall at the end of 5 weeks.
Never mind I just solved it
35.4in/day * 2.54cm/in * 5weeks * 7days/week * 1m/1000cm
= (35.4*2.54*5*7)/1000 = 3.147 m