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3 years ago

Ab" that goes through points (0,9) Write an exponential function in the form y and (5,2187)

Mathematics

1 answer:

klasskru [66]3 years ago

4 0

9514 1404 393

Answer:

y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

9 = a(b^0) = a

2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

(2187/9) = b^5

243^(1/5) = b = 3

The exponential function is ...

y = 9(3^x)

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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