Question

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)=__________

Answer 1

`y= 51(1.5)^x`

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)

`51= ab^0`

a= 51

(−1,34)

`34= 51b^(-1)`

Divide both sides by 51

`(34)/(51) = b^(-1)`

So b = 51/34

b= 1.5

Plug in the values of 'a' and 'b'

Equation becomes
`y= 51(1.5)^x`