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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?

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?

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Exponential growth and decay: word problems

Full solution

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 Annual Increase: Calculate the number of articles after $2$ years with an $8$ \% annual increase. $\newline$ First year increase: $6000 \times 0.08 = 480$ articles $\newline$ Second year increase: $(6000 + 480) \times 0.08 = 518.4$ articles $\newline$ Total number of articles after $2$ years with $8$ \% increase: $6000 + 480 + 518.4 = 6998.4$ $\newline$ Round to the nearest whole number: $6998.4$ rounds to $6998$
Calculate Original Growth Rate: Calculate the number of articles after $2$ years with the original growth rate of $307$ articles per year. $\newline$ First year increase: $6000 + 307 = 6307$ articles $\newline$ Second year increase: $6307 + 307 = 6614$ articles $\newline$ Total number of articles after $2$ years with original growth rate: $6614$
Find Difference: Find the difference in the number of articles between the two growth rates after $2$ years. $\newline$ Difference: $6998 - 6614 = 384$

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