As a town gets smaller, the population of its high school decreases by 6% each year, teh senior class has 250 students now. in how many years will it have about 100 students

Question

Mathematics

Henderson

11 September, 20:13

As a town gets smaller, the population of its high school decreases by 6% each year, teh senior class has 250 students now. in how many years will it have about 100 students

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Janelle Riggs · Answer 1

An equation to solve for the time when the high school will have exactly 100 students is (1-.06) ^x = (250/100).

That simplifies to 94^x =.4.

We can then take the log of both sides to isolate the x variable from the exponent. Here's with natural log.

x*ln (.94) = ln (.4)

x = ln (.4) / ln (.94)

Solving this gives x ~ = 14.80. So in about 15 years, the high school will have 100 students.