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]