Algebra2 CH1 Section Exer. pt2 Test

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For 1-23. When a pleasure boat enters a small lock, there are 120 inches of water (depth) in the lock. Two minutes after the lock begins draining, there are 102 inches of water in the lock. a. What is the average rate of change of water depth in the lock over the first two minutes? The answer is -9 inches per minute. b. Write a linear model for the depth of water in the lock as a function of time since the lock began to empty. The answer is d = -9t +120. c. If the lock's lowest water level is 48 inches, how long does it take the lock to reach this water level? The answer is 8 minutes. 1-24. The following table shows the population of New York State (In thousands) Year 1900 1920 1940 1960 1980 2000 Population 7,268 10,385 13,479 16,782 17,558 18,250 (in thousands) a. What was the average rate of change of New York's population during the 20th century? 109.82 thousand people per year b. Use the average rate of change from 1980 to 2000 to write a linear equation for New York's as a function of time for 1980 to 2000. P=34.6(t -1,980) + 17,558 or P=34.6(t -2,000) +18,250 c. Using your equation from part b, in what year should the population reach 20 million? During the year 2050