linseytaylor250
Answered

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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?

Sagot :

Answer:

The value of a is 7.

The value of b is 3.

Step-by-step explanation:

We are given the following function:

[tex]f(x) = ab^{x}[/tex]

Point (0,7)

This means that when [tex]x = 0, f(x) = 7[/tex]. So

[tex]f(x) = ab^{x}[/tex]

[tex]7 = ab^{0}[/tex]

[tex]a = 7[/tex]

So

[tex]f(x) = 7b^{x}[/tex]

(3, 189)

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

[tex]f(x) = 7b^{x}[/tex]

[tex]189 = 7b^{3}[/tex]

[tex]b^3 = \frac{189}{7}[/tex]

[tex]b^3 = 27[/tex]

[tex]b = \sqrt[3]{27}[/tex]

[tex]b = 3[/tex]

The value of b is 3.

Answer:

C

Step-by-step explanation:

C is the answer

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