Sammyyyyyy2021 Sammyyyyyy2021
  • 19-02-2021
  • Mathematics
contestada

Write and exponential function in the form y=ab^x that goes through points (0,17) and (5,4131)

Respuesta :

reeserl reeserl
  • 19-02-2021

Answer:

[tex]y = 17(3^{x} )[/tex]

Step-by-step explanation:

When x = 0, y = 17  So,  [tex]17 = kb^{0} = k(1) = k[/tex]

Now, [tex]y = 17b^{x}[/tex]

When x = 5, y = 4131  So, [tex]4131 = 17b^{5}[/tex]

[tex]b^{5} = 4131/17 = 243 = 3^{5}[/tex]

b = 3

Therefore, [tex]y = 17(3^{x} )[/tex]

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