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Suppose that the world population $P(t)$ at time $t$ is governed by equation (2) The population in 1960 was approximately 3 billion. Using $k=0.018$, determine the population in: (a) $1970 ;$ (b) $1982 ;$ (c) 1950 ; (d) 1900 . Compare your predicted results with the actual population as given in Table 2.$$\begin{array}{|lllll|}\hline \text { Year } & 1900 & 1950 & 1970 & 1982 \\\text { Population } & 1.6 & 2.51 & 3.58 & 4.6 \\\hline\end{array}.$$

(a) 3.59 billion(b) 4.46 billion(c) 2.51 billion(d) 1.02 billion

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 7

Applications of Exponential and Logarithmic Functions

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

04:30

The table shows the U.S. p…

04:11

In 1960, the population of…

03:27

The population of China ca…

05:25

In 2003 , a town's po…

07:28

Population growth The tabl…

02:22

The population $P$ at time…

07:54

The table gives estimates …

in this question, the population of China is murdered by the equation. B D equals 1237 multiplied by 1.95 is to the part B. And he's the number of years since 1998. Now, in a part, they're asking, What is the population in the year 2002? It means we have to find the population after four years, so be off. Four equals one toe 37 1.95 days to depart for on. When we calculate this, we get 12 84.680 And after rounding off bigger Oneto 85 million's No Inbee Park, it sees estimated the population in 2016 it means we have to find the population. After 18 years, soapy off 18 equals one toe 37 multiplied by 1.95 days to the part. 18. When we calculate this, we get 1466.5 millions on Finally in C part. It says if the growth rate continues in but here in the population needs two billion people's toe, two billion means 2000 millions. So it means we can equate the equation toe to thousands or 2000 equals. 1237 multiplied by 1.95 raised to the party on Now we have to solve 40. So we start by dividing both sides by 1237 This cancels out on we get 2000 by 1237 equals 1.95 days to the part. Hey, now we have to solve 40. So apply Natural Logan both sides. So Ellen 2000 by 1237 is equal to Ellen. 1.95 Race to the party. So Ellen 2000 divided by 1237 equals D multiplied by Ellen 1.95 So finally, solving for tea, we get these equal to Ellen 2000. Divided by 1237 Holy Waited by Ellen 1.95 Final is holding for TV. Get these equal to 50.8 now. It means we have to wear 50.8 to 1998. So we'll get here. 2040 night

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