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Black_prince [1.1K]
3 years ago
13

These tables represent an exponential function.Find the average rate of change for the interval from x=8 to x=9

Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Answer:

Option D. 13122 is the answer.

Step-by-step explanation:

As we can see from the table having interval and average rate of change, figures under average rate of change are forming a geometric sequence.

Sequence is 2, 6, 18 , 54, 162, 486.

and we have to find the average rate of change from x = 8 to x = 9, means we have to find 9th term of the given sequence.

Now we know that explicit formula of the sequence can be written as T_{n}=ar^{n-1}

where Tn is the nth term of the sequence.

a = first term

r = common ratio

n = number of the term

Now from this explicit formula we can find the 9th term of the sequence.

From the given table

a = 2, r = 3, n = 9

T_{9}=2.3^{9-1}=2.3^{8}

T9 = 13122

Therefore Option D. 13122 will be the answer.

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Describe the pattern of decay for the sequance.
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As you plot both equations on the same graph, you will get something like this, shown in the graph.

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2 years ago
The scale in the drawing is 2 cm : 5 m. Select from the drop down the correct numbers into the boxes to give the length, width,
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The length, width, and area will be 25m, 15m, and 375m².

<h3>How to calculate the area?</h3>

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Learn more about area on:

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7 0
2 years ago
What value of r makes the equation true? r 0.12 = 0.20 A. r = 0.32 B. r = 0.08 C. r = –0.08 D. r = –0.32
muminat
Depends on your question...

If your question is r + 0.12 = 0.20 then do this:

Subtract 0.12 from both sides

r = 0.08

The answer is B.


If your question is r - 0.12 = 0.20 then do this:

Add 0.12 on both sides

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The answer is A

So it depends on your question :P
8 0
3 years ago
Read 2 more answers
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