a bean plant grows 15% of its height each day, after 10 days the bean plant is 27 inches tall. how tall was it yesterday?
h = ho + ho*0.15*10 = 27 in.
ho + 1.5ho = 27
2.5ho = 27
ho = 10.8 In. = Initial ht.
h = 10.8 + 10.8*0.15*9 = 25.4 Inches yesterday.
To calculate how tall the bean plant was yesterday, we need to work in reverse and subtract the growth from today's height.
Let's break down the problem step by step:
1. Calculate the growth rate each day:
The bean plant grows 15% of its height each day. So, the growth rate is 15%.
2. Calculate the height of the plant after 10 days:
We are given that after 10 days, the bean plant is 27 inches tall.
3. Calculate the height of the plant before today:
To find out the height of the plant before today, we need to subtract the growth on each day from today's height.
Here's how to calculate it:
Step 1: Calculate the daily growth factor:
The daily growth factor is calculated by adding 100% (or 1 in decimal form) to the growth rate (15%).
Daily growth factor = 1 + 0.15 = 1.15
Step 2: Calculate the height of the plant after 9 days:
To calculate the height after 9 days, we divide the height after 10 days (27 inches) by the daily growth factor:
Height after 9 days = (Height after 10 days) / Daily growth factor = 27 / 1.15 = 23.48 inches (rounded to two decimal places)
Therefore, the height of the bean plant yesterday was approximately 23.48 inches.