Question

Help plz i need the answer

Answer 1

Part (a)
We know that at x = 0, y = 1.2
Since x is the exponent, then
`a^(0) = 1, a \\eq 0`
Thus, given the form
`y = ab^(x)`, we can find what a is.


`1.2 = a(1); a = 1.2`

`3.96 = 1.2b^(1)`

`3.3 = b`

Thus, our equation becomes:
`y = 1.2 \cdot 3.3^(x)`

Part (b)
Once again, we can find what a is.

`a = 5`


`180 = 5b^(2)`

`36 = b^(2)`
Taking the positive solution, we get:
`b = 6`

Thus, our equation becomes:
`y = 5 \cdot 6^(x)`