Question

Find the exponential equation for the given information. Pls help

Answer 1

y = 12
`(2.9)^(x)`

Explanation:

The standard form of the exponential function is

y = a
`(b)^(x)`

Find a and b by substituting ordered pairs from the table into the equation

Using (0, 12 ), then

12 = a
`b^(0)` (
`b^(0)` = 1 ), so

a = 12, then

y = 12
`b^(x)`

Using (1, 34.8 ) , then

34.8 = 12
`b^(1)` ( divide both sides by 12 )

b = 2.9

Thus exponential function is

y = 12
`(2.9)^(x)`