A plant is 6.2 cm tall.The height of the plant increases by 11% each week.Find how tall the plant will be after two weeks.
Question
A plant is 6.2 cm tall.The height of the plant increases by 11% each week.Find how tall the plant will be after two weeks.
Solution
Sure, here's how to solve the problem:
Step 1: Calculate the height increase for the first week. The plant grows by 11% each week. So, for the first week, you calculate 11% of 6.2 cm.
11/100 * 6.2 = 0.682 cm
So, the plant will grow 0.682 cm in the first week.
Step 2: Add the growth of the first week to the original height. The new height of the plant after the first week is 6.2 cm (original height) + 0.682 cm (growth) = 6.882 cm.
Step 3: Calculate the height increase for the second week. In the second week, the plant will again grow by 11%, but this time it's 11% of the new height (6.882 cm).
11/100 * 6.882 = 0.75702 cm
So, the plant will grow an additional 0.75702 cm in the second week.
Step 4: Add the growth of the second week to the height at the end of the first week. The new height of the plant after the second week is 6.882 cm (height after first week) + 0.75702 cm (growth in second week) = 7.63902 cm.
So, the plant will be approximately 7.64 cm tall after two weeks.
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