The population (in millions) of a country t years after 1800 is given by the fun

Question

The population (in millions) of a country t years after 1800 is given by the function f(t). Use the graphs of f(t), f'(t), and f'' (t) given below to answer the following questions. 0.051 3001 250- 0.02 2001 0.017 150 100- 50- 0 H 50 100 150 200 -0.01 -0.02- y=f(t) 50 100 150 2001 0 50 100 150 200 (a) What was the population in 1900? The population in 1900 was million. (b) Approximately when was the population 150 million? The population was 150 million in the year (c) How fast was the population growing in 1950? The population was growing at a rate of million people per year in 1950. (d) In what year between 1825 and 2000 was the population growing at 0.4 million people per year? Between 1825 and 2000, the population was growing at 0.4 million people per year in the year . Enter your answer in each of the answer boxes.

Explanation / Answer

a) In 1800, t=0

So, in the year 1900, t = 1900 - 1800 = 100

At t=100, f(t) = 100

The population in 1990 was 100 million.

b) At f(t) = 150, t= 140

So, the year will be 1800 + 140 = 1940

So, the population was 150 million in the year 1940.

c) In the year 1950, t= 1950 - 1800 = 150

At t=150, f'(t) = 1.2

The population was growing at the rate of 1.2 million in the eyar 1950.

d) f'(t) = 0.4 million per year

at f'(t) = 0.4, t= 175

So, the year will be = 1800 + 175 = 1975

The population was growing at the rate of 0.4 million per year in the year 1975.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.