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  • 10-12-2018
  • Mathematics
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The ordered pairs model an exponential growth function. {(−1,34), (0,51), (1,76.5), (2,114.75)} What is the function equation? f(x)=__________

Respuesta :

lisboa lisboa
  • 20-12-2018

Answer:

[tex]y= 51(1.5)^x[/tex]

Step-by-step explanation:

The ordered pairs model an exponential growth function. {(−1,34), (0,51), (1,76.5), (2,114.75)}

Exponential function equation is y=ab^x

Lets plug in the ordered pairs and find our 'a'  and 'b'

(0,51)

[tex]51= ab^0[/tex]

a= 51

(−1,34)

[tex]34= 51b^{-1}[/tex]

Divide both sides by 51

[tex]\frac{34}{51} = b^{-1}[/tex]

So b = 51/34

b= 1.5

Plug in the values of 'a'  and 'b'

Equation becomes [tex]y= 51(1.5)^x[/tex]


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