Total Question 123 456789 10 -1-1 0.141-/1-11-11-11-/1-11-11 0.14/10 (1.4%) nmen

Question

Total Question 123 456789 10 -1-1 0.141-/1-11-11-11-/1-11-11 0.14/10 (1.4%) nment Submission this assignment, you submit answers by question parts. The number of submissions remaining for each questlion part only changes if you gnment Scoring r last submission is used for your score + :-1 points SCalcET6 3 8 006. The table gives the population of the United States, in millions, for the years 1900-2000. Year Population 1900 76 910 92 1920 106 1930 123 1940 131 1950 150 1960 179 1970 203 1980 227 1990 250 2000 275 (a) Use the exponential model and the census figures for 1900 and 1910 to predict the population in 2000. P(2000) million (b) Use the exponential model and the census figures for 1960 and 1970 to predict the population in 2000. P(2000) million Need Help? [Talk to a Tutor Submit Answer Save Progress

Explanation / Answer

1. The equation of exp model is

A = P * e^ (r*t)

Here A= 92,

P= 76

t= 10years (1900 to1910)

So., we get

A = P * e^ (r*t)

92=76 * e^(r*10)

So., 1.3333 = e^ (10r)

0.2876821=10*r (taking log on each side)

so r= 0.02876821

Now solving for 2000

we get

P(2000) = 76* e^(0.02876821*100)

=1349.588

b)Using the same thing for 1960 and 1970 we get

A = P * e^ (r*t)

203=179 * e^(r*10)

So., 1.134 = e^ (10r)

0.1258202=10*r (taking log on each side)

so r= 0.01258202

Now solving for 2000

we get

P(2000) = 179* e^(0.01258202*40)

= 296

Hope the above answer has helped you in understanding the problem. Please upvote the ans if it has really helped you. Good Luck!!

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---