Question

Please help with 1 and 2

Answer 1

1. B. a=14, b=2

2. D. a=1, b=1.4

Explanation:

The exponential growth function can be represented as

`y=a\cdot b^x,`

where b is the growth factor.

1. When the function has equation

`g(x)=14\cdot 2^x,`

then

`a=14,\\ \\b=2`

The initial amount is the value of the function at x=0:

`g(0)=14\cdot 2^0=14\cdot 1=14`

The growth factor is b=2

2. When the function has equation

`f(t)=1.4^t,`

then

`a=1,\\ \\b=1.4`

The initial amount is the value of the function at t=0:

`f(0)=1.4^0=1`

The growth factor is b=1.4