kbriggs60 kbriggs60
  • 17-10-2019
  • Mathematics
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An exponential function f(x)=ab^x passes through points (0,5000) and (3,2560). What are values of a and b?

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MathPhys
MathPhys MathPhys
  • 17-10-2019

Answer:

a = 5000

b = 0.8

Step-by-step explanation:

f(x) = abˣ

Plugging in the points:

5000 = ab⁰

2560 = ab³

b⁰ is 1, so the first equation reduces to:

5000 = a

Plugging into the second equation:

2560 = 5000b³

0.512 = b³

b = 0.8

Therefore, a = 5000 and b = 0.8.

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