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An exponential function f(x)=ab^x passes through the points (0,7) and (3, 189). what are the values of a and b?

2 Answers

2 votes

Answer:

C

Explanation:

C is the answer

User DimSutar
by
7.7k points
5 votes

Answer:

The value of a is 7.

The value of b is 3.

Explanation:

We are given the following function:


f(x) = ab^(x)

Point (0,7)

This means that when
x = 0, f(x) = 7. So


f(x) = ab^(x)


7 = ab^(0)


a = 7

So


f(x) = 7b^(x)

(3, 189)

This means that when
x = 3, f(x) = 189. We use this to find b. So


f(x) = 7b^(x)


189 = 7b^(3)


b^3 = (189)/(7)


b^3 = 27


b = \sqrt[3]{27}


b = 3

The value of b is 3.

User Fedmich
by
7.9k points

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