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bixtya [17]
3 years ago
12

As x increases by 1 unit, what is the exponential growth factor??

Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Given:

The graph of an exponential function.

To find:

The exponential growth factor as x increases by 1 unit.

Solution:

From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.

The general exponential function is:

y=ab^x                 ...(i)

Where, a is the initial value and b is the growth factor.

Putting x=1,y=1 in (i), we get

1=ab^1                  ...(ii)

Putting x=3,y=9 in (i), we get

9=ab^3                  ...(iii)

Divide (iii) by (ii).

\dfrac{9}{1}=\dfrac{ab^3}{ab}

9=b^2

3=b

b is the the growth factor and the value of b is 3.

Therefore, the exponential growth factor is 3 as x increases by 1 unit.

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Answer:

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Step-by-step explanation:

see the attached figure to better understand the problem

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A <u><em>centroid</em></u> of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

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HM=\frac{2}{3}(45)

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substitute the given value

JM=\frac{1}{3}(63)

JM=21\ units

Part d) Find MI

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substitute the given value

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Part e) Find GM

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substitute the given value

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Part f) Find MK

we have

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