Answer:
[tex]0.2[/tex] 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 [tex](0,3), (5,4),(10,5)...[/tex]
From these points we can find the slope of the line .
From point slope formula [tex]y-y_1=m(x-x_1)[/tex]
And assigning [tex](x,y) (0,3)[/tex] and [tex](x_1,y_1) (5,4)[/tex]
[tex]m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2[/tex]
This slope is also the speed of the bird which is [tex]0.2\ miles\ per\ minute.[/tex]
As by plugging the values of any coordinate point we can confirm this.
Lets put [tex](10,5)[/tex], y-axis is the distance so in [tex]10[/tex] minutes the the distance covered by the bird must be equal to to y-axis value which is [tex]5[/tex] miles.
[tex]y=0.2(x),y=0.2(10)=5\ miles[/tex]
Now as in [tex]t=0[/tex] the bird has started from y-intercept value [tex]3[/tex] so we can say that,the original distance of the bird from its nest is [tex]3\ miles[/tex].
So the correct choices are:[tex]B[/tex] and [tex]D[/tex]
The birds speed is [tex]0.2\ miles[/tex] per minute and is [tex]3\ miles[/tex] away from its nest.
Answer:
(d).
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest
