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Which of the following has the slowest growth of rate?

5(e)^x
6(1.03)^x
2(3)^x
(0.3)^x​

1 Answer

4 votes

Answer:

(0.3)^x has the slowest growth rate.

Explanation:

Out of the given functions, the function with the slowest growth rate is (0.3)^x.

To see why, we can compare the growth rates of each function as x increases.

For 5(e)^x, the base e is approximately equal to 2.718, which means that the function grows very quickly as x increases.

For 6(1.03)^x, the base is slightly greater than 1, which means that the function grows at a moderate rate as x increases.

For 2(3)^x, the base is greater than 1, which means that the function grows more quickly than (1.03)^x, but less quickly than (e)^x.

For (0.3)^x, the base is less than 1, which means that the function decreases as x increases. Therefore, this function has the slowest growth rate out of the given functions.

So, (0.3)^x has the slowest growth rate.

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