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Vedmedyk [2.9K]
3 years ago
5

These tables of values represent continuous functions. In which table do the

Mathematics
1 answer:
ss7ja [257]3 years ago
5 0

Answer:

A

Step-by-step explanation:

An exponential function can be written as y = a * bˣ . This means that there is a common ratio, b, between each number.

For A, the ratio between the first and second number is 8/2 = 4, the ratio between the second and third is 32/8 = 4, and so on. This seems correct, but we can check the other tables to make sure.

For B, the ratio between the first and second number is 34/14 ≈ 2.4 and the ratio between the second and third number is 54/34 ≈ 1.6 . These are not equal, so B is incorrect

For C, the ratio between the first and second number is 8/2=4 and the ratio between the second and third number is 14/8 = 1.75 . These are not equal, so C is incorrect

For D, the ratio between the first and second number is 5/4 = 1.25 and the ratio between the second and third number is 6/5 = 1.2 . These are not equal, so D is incorrect

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<h3>Answer:</h3>

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You can try the choices to see which one works. The differences between an values double each time. They have the sequence 1, 2, 4, 8. So, you know that choices A) and D) do not work. They show the difference to be constant at 1 or 8. Since the differences are multiplied by 2, C) is a reasonable choice. Trying that, we find it describes the sequence perfectly:

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Step-by-step explanation:

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