Find the exponential function that contains the points (2,36) and (3,108).

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Step-by-step explanation:

Exponential functions are in the form ,  where and are constants with .

In this question, the function should satisfy that and . Hence, constants and should ensure that:

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Rewrite the left-hand side of the second equation: .

Substitute the first equation into the second:

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Substitute into either equation (for example, the first equation) and solve for :

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Hence, the exponential function should satisfy the requirements of this question.

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft