serenitsmith64 serenitsmith64
  • 24-02-2022
  • Mathematics
contestada

Write an
exponential function in the form y=ab^x that goes through points (0,11) and (2,1100).

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-02-2022

Answer:

  y = 11·10^x

Step-by-step explanation:

The two points give rise to two equations in 'a' and 'b'.

  y = ab^x

  11 = ab^0

  1100 = ab^2

__

We can simplify the first equation to ...

  11 = a

Dividing the second equation by the first gives ...

  100 = b^2

  10 = b . . . . . take the square root

The exponential function is ...

  y = 11·10^x

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