The water level in a retention pond started a 5 ft (60 in.) and decreased at a rate of 2 in./day during a 14-day drought. A tropical depression moved through at the beginning of the 15 day and proceed rain at an average rate of 2.4 in./day for 5 days. a. Write a piecewise - defined function to model the water level L(x) (in inches) as a function of the number of days x since the beginning of the drought. b. Graph the function.
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Answer:
W = 60 - 2 * D D is number of days D ≤ 14
W = 30 + 2.4(D - 14) D is number of days > 14
Step-by-step explanation:
Water Level
W = 60 - 2 * D D is number of days D ≤ 14
W = 30 + 2.4(D - 14) D is number of days > 14
Day Water Level
0 60
1 58
2 56
3 54
4 52
5 50
6 48
7 46
8 44
9 42
10 40
11 38
12 36
13 34
14 32
15 34.4
16 36.8
17 39.2
18 41.6
19 44
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