a.
To find: whether thefunction 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
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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