Question

The number of cities in a region over time is represented by the function

Answer 1

For this question, in order to find T(x), we need to multiply the two given functions.

`T(x)=(C\cdot P)(x)`
`T(x)=C(x)\cdot P(x)`
`=(2.9)(1.05)^x\cdot(1.05)^(3x+5)`
`=(2.9)(1.05)^(x+3x+5)`
`T(x)=2.9(1.05)^(4x+5)`

Therefore, the answer must be option A.