Answer:
miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.
Step-by-step explanation:
As there is no graph mentioned here but the information are quite sufficient to answer the question.
We have points ![(0,3), (5,4),(10,5)...](https://tex.z-dn.net/?f=%280%2C3%29%2C%20%285%2C4%29%2C%2810%2C5%29...)
From these points we can find the slope of the line .
From point slope formula ![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
And assigning
and
![m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_1-y%7D%7Bx_1-x%7D%20%3D%5Cfrac%7B4-3%7D%7B5-0%7D%20%3D%5Cfrac%7B1%7D%7B5%7D%3D0.2)
This slope is also the speed of the bird which is ![0.2\ miles\ per\ minute.](https://tex.z-dn.net/?f=0.2%5C%20miles%5C%20per%5C%20minute.)
As by plugging the values of any coordinate point we can confirm this.
Lets put
, y-axis is the distance so in
minutes the the distance covered by the bird must be equal to to y-axis value which is
miles.
![y=0.2(x),y=0.2(10)=5\ miles](https://tex.z-dn.net/?f=y%3D0.2%28x%29%2Cy%3D0.2%2810%29%3D5%5C%20miles)
Now as in
the bird has started from y-intercept value
so we can say that,the original distance of the bird from its nest is
.
So the correct choices are:
and ![D](https://tex.z-dn.net/?f=D)
The birds speed is
per minute and is
away from its nest.