As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.
Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:
million people
To find the population of Italy in 2008 (t = 18 years)
substitute t = 18 in the equation and have:
million people
To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30
t = 25
million people
t = 30
million people
Answer:
(1, 1), (2, 2), (-3, -3), (4, 4), (-5, -5)
Step-by-step explanation:
You get a straight line. As you can see in the picture, the figure lies in the first and third quadrant.
Remark.
The problem is a bit indistinct. Where exactly are the two edges of the road? I'm going to say that they are the x intercepts, but that may not be true. Certainly it does not have to be true at all.
Graph.
A graph has been made for you. The maximum is marked for you. It is an approximation The actual height can be more accurately found.
Height
y = (-1/200)(x - 16)(x + 16)
y = (-1/200)*(x^2 - 256)
The maximum height for this graph only is when x = 0.Other graphs require completing the square.
y = (-1/200) * (-256)
y = 1.28 exactly. I thought the graph might be rounding the answer. It is not.
Use substitution:
<span>we're going back to substitution:
therefore
</span>
This line is describing the hiker's speed.
In the first hour you can see the line is straight, so this means the speed is constant.
From this first hour to the second hour you will see the line drops, and this means the constant speed slows down within that hour.
Finally, from the second hour to the third hour you see a line moving up, and this means the speed increases during this time.
The choice that is correctly represented by this graph would be the third choice.
