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18 September, 05:25

Given the following equation of an exponential function, determine the base, b, of the exponential model. Is the base a growth or decay factor? a. b is 1.194; It is a growth factor. b. b is 1.194; It is a decay factor. c. b is 10.5; It is a growth factor. d. b is 10.5; It is a decay factor.

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  1. 18 September, 05:45
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    I found the exponential function.

    C = 10.5 (1.194) ^t

    The definition of an exponential function is this:

    "If b is any number such that b > 0 and b ≠ 1 then an exponential function is a function in the form, f (x) = b^x, where b is called the base and x can be any real number"

    Using the description, the answer is a.) B is 1.194; it is a growth factor.

    B is identified as a growth factor because it is more than 1. If it had been less than 1, it would have been a decay factor.
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