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:
r=d/t
Step-by-step explanation:
d=rt
we are to make r the subject of the formula, so we remove t from the rhs.
we do this by dividing both sides by t
d divided by t= d/t and rt divided by t = r
therefore d/t =rt/t
= r=d/t
2 times 8 equals 16 + 10 equals 26
Okay lets get started.
I drove 110 miles with speed of 55 mi/hr so the time taken =
time = distance / speed
time = 110 / 55 = 2 hrs For the distance which is covered with 55 mi/hr speed.
Total time for reaching home is 4 hrs 15 minutes. (given in question)
Means rest distance after snow is covered in = 4 hrs 15 minutes - 2 hrs
= 2 hrs 15 minutes = 2 + 15/60 = 2.25 hrs
The speed in snow driving is 35 mi/hr
So distance covered in snow driving is = 2.25 * 35 = 78.75 miles
Hence the total distance = 110 + 78.75 = 188.75 miles : Answer
Hope that will help :)
The answer looks like it could be b
