The team's engagement score was 4.6 this month. The score has been improving at a rate of 11% per month. What was the score 3 months ago?
Question
The team's engagement score was 4.6 this month. The score has been improving at a rate of 11% per month. What was the score 3 months ago?
Solution
To find the engagement score three months ago, we need to reverse the 11% monthly increase for three months.
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First, we need to find the score one month ago. To do this, we divide the current score by 1 plus the rate of increase. The rate of increase is 11%, or 0.11 in decimal form. So, we divide 4.6 by 1.11.
Score one month ago = 4.6 / 1.11 = 4.14 (approximately)
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Next, we find the score two months ago by dividing the score one month ago by 1.11.
Score two months ago = 4.14 / 1.11 = 3.73 (approximately)
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Finally, we find the score three months ago by dividing the score two months ago by 1.11.
Score three months ago = 3.73 / 1.11 = 3.36 (approximately)
So, the team's engagement score was approximately 3.36 three months ago.
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