Chapter 6.4, Problem 68E

To determine

To match: The given situation with thecorrect graph.

Answer to Problem 68E

The value of (a) decreases quickly.

Explanation of Solution

Given information:

  

Both (a) and (c) are exponential growth so they can be graphs (A) and (D). But (a) has a growth rate of 200% while (a) has a growth rate of 11% so (a) increases quickly.

Both (b) and (d) are exponential decay so they can be graphs (B) and (C). But (b) has a decay rate of 18% while (d) has a decay rate of 5.5% so (a) decreases quickly.

Using the above information,

  $\begin{array}{l}\left(a\right)\to \text{Graph D}\\ \left(b\right)\to \text{Graph B}\\ \left(c\right)\to \text{Graph A}\\ \left(d\right)\to \text{Graph C}\end{array}$

Conclusion:

The (b) has a decay rate of 18% while (d) has a decay rate of 5.5% so (a) decreases quickly.