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.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
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.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
3/14 or 21.428571428571%
Step-by-step explanation:
First you should add all of the animals together.
3 + 4 + 7 = 14
3 out of 14 animals are pigs.
128 ÷3=42.66
it doesn't say if they have to pay the money back but if they do it's
128-35= 43
43÷3= 14.33
Here, angle (3x-1) is supplementary with 5x, so their sum would be equal to 180
3x - 1 + 5x = 180
8x = 180 + 1
x = 181/8
x = 22.625
Hope this helps!
Answer: 4 kilograms of dough and will continue preparing 1 kilogram of dough every hour.
Step-by-step explanation:
