1997 AHSME Problems/Problem 14
Problem
The number of geese in a flock increases so that the difference between the populations in year and year is directly proportional to the population in year . If the populations in the years , , and were , , and , respectively, then the population in was
Solution
Let be the population in , and let be the constant of proportionality.
If , then the difference in population between and is directly proportional to the population in .
Translating this sentence,
Similarly, letting gives the sentence
Since , we have
Plugging this into the first equation, we have:
Since , we must have , and the answer is .
See also
1997 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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