Concept explainers
a.
To find: whether the function that is represented by the table is exponential growth function, exponential decay function or neither.
a.
Answer to Problem 39E
Exponential Decay Function
Explanation of Solution
Given information:
The table:
t | 1 | 2 | 3 | 4 |
Value | $37,000 | $29,600 | $23,680 | $18,944 |
Concept Used:
Exponential growth function:
Here, the y is the final value, a is the initial value, and r is the rate of growth (in decimal form).
Exponential decay function:
Here, the y is the final value, a is the initial value, and r is the rate of decay (in decimal form).
Consider the table given below:
It can be observed that as t increases by 1, the value is multiplied by
So, the function represented by the given table is exponential decay function.
b.
To find: the value of camper after 5 years.
b.
Answer to Problem 39E
Approximately
Explanation of Solution
From part (a), it is observed that as t increases by 1, the value v is multiplied by
So, as t increase from
The value
So,
Conclusion:
So, after 5 years, the value of camper will be about $15,155.
Chapter 6 Solutions
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