Concept explainers
(a)
Sketch the graph.
(a)
Answer to Problem 61E
Graph is shown below.
Explanation of Solution
Given:
The projected population is modeled by the equation
The projected population is modeled by the equation
Using a graphing utility, plot a graph for the years 2025 to 2055.
(b)
Complete the table.
(b)
Answer to Problem 61E
t | 25 | 30 | 35 | 40 | 45 | 50 | 55 |
P(t) | 350.28 | 359.508 | 368.977 | 378.696 | 388.672 | 398.91 | 409.417 |
Explanation of Solution
Given:
The projected population is modeled by the equation
Now, use a graphing utility to construct a table of values. Here
t | 25 | 30 | 35 | 40 | 45 | 50 | 55 |
P(t) | 350.28 | 359.508 | 368.977 | 378.696 | 388.672 | 398.91 | 409.417 |
(c)
Find the year in which the estimated population will exceed 430 million.
(c)
Answer to Problem 61E
The estimated population will exceed 430 million in 2064.
Explanation of Solution
Given:
The projected population is modeled by the equation
Now, to calculate the year in which the estimated population will exceed 430 million.
Now, divide both the sides of the equation by 0.0052 and solve for t.
Hence, the estimated population will exceed 430 million in 2064.
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
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