Concept explainers
a.
To find: whether thefunction that is represented by the table is exponential growth function, exponential decay function or neither.
a.
Answer to Problem 40E
Exponential Growth Function
Explanation of Solution
Given information:
The table:
t | 42 | 43 | 44 | 45 |
Visitors | 11,000 | 12,100 | 13,310 | 14,641 |
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 (visitors) is multiplied by
So, the function represented by the given table is exponential growth function.
b.
To find:the number of visitors after website is online for 47 days.
b.
Answer to Problem 40E
Approximately
Explanation of Solution
From part (a), it is observed that as t increases by 1, they -value is multiplied by
So, as t increase from
The value
So,
Conclusion:
So, number of visitors after website is online for 47 days will be about 17,716.
Chapter 6 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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