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Svetradugi [14.3K]
2 years ago
8

Find the equation of the exponential function represented by the table below:

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
6 0

Answer:

y=a(b)^x

y=0.01(3)^x

a is start, b is multiplier

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1. You can estimate that it is 2 from 7/3 ≈ 2, then check by multiplication to see if that is right.
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2. You can divide 7 1/3 by 3 2/3 to see what the factor is.
.. (7 1/3)/(3 2/3) = (22/3)/(11/3) = 22/11 = 2 . . . . 2 is the factor Earl used.

3. You could see how many times you can subtract 3 2/3 from 7 1/3.
.. 7 1/3 -3 2/3 = (7 -3) +(1/3 -2/3) = 4 -1/3 = 3 2/3 . . . . . subtracting once gives 3 2/3
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4. You could add 3 2/3 to see how many times it takes to get 7 1/3.
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We only need to add two values of 3 2/3 to get 7 1/3, so the factor is 2.

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