In a particular research database, the number of indexed genetics articles had increased by an average of 307 articles per year for several years. At the end of that time period, there were 6000 genetics articles indexed. Since then, the number of articles has increased by 8% annually. To the nearest whole number, how many more genetics articles are there after 2 years of this increase than if the growth rate had not changed?◻
Q. In a particular research database, the number of indexed genetics articles had increased by an average of 307 articles per year for several years. At the end of that time period, there were 6000 genetics articles indexed. Since then, the number of articles has increased by 8% annually. To the nearest whole number, how many more genetics articles are there after 2 years of this increase than if the growth rate had not changed?◻
Calculate Initial Growth Rate: Calculate the number of articles after 2 years with the original growth rate of 307 articles per year.Number of articles after 2 years = Initial number of articles + (Growth per year × Number of years)= 6000 articles + (307 articles/year ×2 years)= 6000 articles + 614 articles= 3070 articles
Calculate New Growth Rate: Calculate the number of articles after 2 years with the new 8% annual growth rate.First, calculate the number of articles after the first year.Number of articles after 1 year = Initial number of articles × (1 + Growth rate)= 6000 articles ×(1+0.08)= 6000 articles ×1.08= 6480 articles
Calculate Growth Rate After 2 Years: Calculate the number of articles after the second year with the 8\% growth rate.Number of articles after 2 years = Number of articles after 1 year * 1+Growth rate= 6480 articles * 1+0.08= 6480 articles * 1.08= 6998.4 articlesSince we need the nearest whole number, we round 6998.4 to 6998 articles.
Find Difference in Growth Rates: Find the difference in the number of articles after 2 years between the two growth rates.Difference = Number of articles after 2 years with 8% growth - Number of articles after 2 years with 307 growth per year= 6998 articles - 6614 articles= 384 articles
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