Chapter 3.5, Problem 1E

To determine

Tofill : the blank with appropriate equation

Answer to Problem 1E

An exponential growth model has the form $\underset{\_}{y=a\cdot b^x,b>0}$ , and an exponential decay model has the form $\underset{\_}{y=a\cdot b^{-x},b>0}$

Explanation of Solution

Given information : An exponential growth model has the form $\underset{\_}{}$ , and an exponential decay model has the form $\underset{\_}{}$

Concept Involved:

An exponential growth model will be in the form $y=a\cdot b^x,b>0$ where ‘a’ is the initial amount, b is the growth factor, and ‘x’ is the period.

An exponential decay model will be in the form $y=a\cdot b^{-x},b>0$ where ‘a’ is the initial amount, b is the decay factor, and ‘x’ is the period.

Graph:

The graph of the function helps us to visualize the exponential growth and decay.

  

Interpretation:

The red graph gives the exponential growth function and blue is the exponential decay function.