Question

The following function represents exponential growth or decay.

Answer 1

Answer:

a) The initial quantity is 2.9.

b) The initial quantity is 2.9.

c) The multiplier is 1.05 > 1, and thus, the quantity is growing.

Step-by-step explanation:

Exponential equations:

Have the following format:

$A(t) = A(0)(k)^t$

In which A(0) is the initial amount and k is the multiplier.

If k > 0, the quantity is growing.

If k < 0, the quintity is decaying.

In this question:

$P(t) = 2.9(1.05)^t$

a, b. The initial quantity is

P(0). So

$P(0) = 2.9(1.05)^0 = 2.9*1 = 2.9$

The initial quantity is 2.9.

c. Is the quantity growing or decaying?

The multiplier is 1.05 > 1, and thus, the quantity is growing.