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timama [110]
2 years ago
13

The graph shows the relationship between the height of a tree and its age in years. What is the unit rate of growth for the tree

?
A. 0.25 feet per year
B. 0.5 feet per year
C. 2 feet per year
D. 3 feet per year

Mathematics
2 answers:
vaieri [72.5K]2 years ago
5 0

Answer:

Option (c) is corrrect.

The unit rate of growth for the tree is 2 feet per year.

Step-by-step explanation:

Given : A graph showing the relationship between the height of a tree and its age in years.

We have to find the unit rate of growth for the tree.

Consider the given graph.

Since, the slope of the graph gives the rate of change occurring per year.

Here, The slope will give the unit rate of growth for the tree.

Consider two points on the equation of line,

(1,2) and (2,4)

Slope between two points is given by ,

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:2\right),\:\left(x_2,\:y_2\right)=\left(2,\:4\right)

Subsitute, we have,

m=\frac{4-2}{2-1}=2

Thus, The unit rate of growth for the tree is 2 feet per year.

adoni [48]2 years ago
3 0
C. 2 feet per year
Hope this helps!
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The slope is 4/3.

rise/run
rise = 4
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2 years ago
Find the derivative of g(y)=(y-4)*(2y+y^2)
sasho [114]

Answer:

g'(y)=3y^2-4y-8

Step-by-step explanation:

start by foiling out the given function

g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y

next, use the power rule to find the derivative

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g'(y)=3y^2-4y-8

5 0
1 year ago
The shaded region is defined by an angle measuring 3π/ 2 radian. The area of the shaded region is 21.206 square inches. Find the
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Step-by-step explanation:

4 0
3 years ago
Evaluate the expression when y = 5.<br> 3y2<br> 3y2 =
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Answer:

17 is the answers to the question

4 0
2 years ago
the third term of an arithmetic sequence is 24 and the fifth is 32 if the first term is a1. which is an equation nth term of the
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An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
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Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
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an = 4n + 12
8 0
3 years ago
Read 2 more answers
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