Mathematics, 11.10.2019 05:30 Valentinavr

Abird-watcher estimates the number of songbirds to the number of birds of prey he will see on a bird-watching trip. his predictions are shown in the graph. what is the rate of change in the graph?

a. 1 /4

b. 2 /7

c. 7 /2

d. 4/ 1

Abird-watcher estimates the number of songbirds to the number of birds of prey he will see on a bird

Answers: 2

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Answers

Answer from: Amber423

The rate of change of the graph is $\frac{2}{7}$ ⇒ answer B

Step-by-step explanation:

- The graph represents a linear relation between the number of

songbird and the number of birds of prey

* x-axis represents the number of the songbirds

* y-axis represents the number of birds of prey

- The rate of change is represented by the slope of the line

- The rule of the slope of a line is:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , where $(x_{1},y_{1})$ and $(x_{2},y_{2})$

are two points lie on the line

- Let us find two points lie on the line from the attached figure

∵ Points (0 , 0) and (14 , 4) lie on the line

- By using the rule of the slope

∴ $m=\frac{4-0}{14-0}=\frac{4}{14}=\frac{2}{7}$

∵ The slope of the line represents the rate of change of the graph

∴ The rate of change of the graph is $\frac{2}{7}$

Answer from: misswonderless

Option B.

Step-by-step explanation:

If a line passes through two points (x_1,y_1) and (x_2,y_2) , then the rate of change is

$m=\frac{y_2-y_1}{x_2-x_1}$

From the given graph it is clear that the graph passes through the points (0,0) and (7,2).

So, the rate of change in the graph is

$m=\frac{2-0}{7-0}$

$m=\frac{2}{7}$

The rate of change in the graph is 2/7.

Therefore, the correct option is B.

Answer from: Quest

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

Which best describes the transformation that occurs from the graph of f(x) = x to g(x) = (x + 3)2 +

Answer from: Quest

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle