a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.
b) Using the function, the estimate for the population in 2020 is of 26,400.
A linear function is modeled by:
y = mx + b
In which:
The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:
m = -2400/12 = -200.
Hence the equation is:
P(t) = -200t + 29600.
2020 is 16 years after 2004, hence the estimate is:
P(16) = -200(16) + 29600 = 26,400.
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Answer:
10, 11, 12, 13, 14, 15, 16
Step-by-step explanation:
The natural numbers are 1, 2, 3, 4, ...
The natural numbers between 9 and 17 are 10, 11, 12, 13, 14, 15, 16.
Answer: 10, 11, 12, 13, 14, 15, 16
Answer: DB=31.66and EC=49.32
C. the remainder must always be less than the dividend