Question

Please help with 1 and 2

Answer 1

Answer:

1. B. a=14, b=2

2. D. a=1, b=1.4

Step-by-step 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