9. The population of the ety of Martin was approximately 12,350 in the year 2003

Question

9. The population of the ety of Martin was approximately 12,350 in the year 2003 and has been growing a. Write a function that deseribes the population as a function of the number of years, t, since 2003 continuousiv at a rita. (if 1.9%. b. Use the function from parl a io predict the population in Martin in 2010. Use the function from part a to predict the population in Martin in the year 1997. c. 10. Solve the exponential cquation. Round your answer to the nearest thousandth, if necessary 342 6 11. For the logarithmic equation, solve and check your work. In(2x3) - In(6x)9 12. Given f (x3x 4 and g(x) -x - 5, perform the indicated function composition a. (fog)(x) b. (fog)(-5)

Explanation / Answer

I will solve 1 full question at one time.

9) (a)

After one year the population of Martin is 12350*(1 + 1.9/100) = 12350(1.019)
After two years the population of Martin is 12350(1.019)(1.019) = 12350(1.019)2
After t years the population of Martin is 12350(1.019)t

(b) In 2010, t = 2010 -2003 = 7

Population = 12350(1.019)7 = 14089.2

(c) In 1997, t = 1997 -2003 = -6

Population = 12350(1.019)-6 = 110319.2

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