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The graph shows the girth, in cm, of the trunk of a fir tree after different numbers of years:(Graph image may be below)

What does the slope of the graph represent?

A)The girth increases by 7 centimeters each year.
B)The girth increases by 5 centimeters each year.
C)The original girth was 5 centimeters.
D)The original girth was 7 centimeters.

The graph shows the girth in cm of the trunk of a fir tree after different numbers of yearsGraph image may be below What does the slope of the graph represent A class=

Respuesta :

mreijepatmat
This is a linear function: y = mx + b, where m = slope and b, the value of y when x = 0

Having said that, the equation becomes : y = 7x+5

And the slope of the graph represents : A)The girth increases by 7 centimeters each year

Answer:

Option A is correct.

the girth increases by 7 cm each year.

Step-by-step explanation:

Let y axis represents the girth in cm of the trunk of a fir tree and

x axis represents time in years.

Using the formula for slope : For any two points [tex](x_1 , y_1)[/tex] and  [tex](x_2 , y_2)[/tex] the slope of the line(m) is given by:

[tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph:

Take any two points to find the slope of the line:

Let two points be (0, 5) and (5, 40)

Then,  by the formula of slope:

[tex]m =\frac{40-5}{5-0}=\frac{35}{5}[/tex] = 7.

Therefore, The girth increases by 7 centimeters each year.





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