Disease A starts killing people in 1900 at the rate of 14000 people per year. Di

Question

Disease A starts killing people in 1900 at the rate of 14000 people per year. Disease B starts killing people in 1910 at the rate of 20000 people per year.

Sketch on one diagram for the period 1900 to 1950 how many people in total have been killed by each disease

a) How many people have died from these two diseases t years after 1900

c) In what year does the total number of people killed by the two diseases become equal?

d) In what year does the total number of deaths first exceed half a million?

Disease A starts killing people in 1900 at the rate of 14000 people per year. Disease B starts killing people in 1910 at the rate of 20000 people per year. Sketch on one diagram for the period 1900 to 1950 how many people in total have been killed by each disease How many people have died from these two disease t years after 1900 for disease B when 0leq tleq 10? For disease B when 10leq t?In what year does the total number of people killed by the two diseases become equal? In what year does the total number of deaths first exceed half a million?

Explanation / Answer

let P(t) be the number of people died by disease B after t years

a)

P(t) = 0

b)

P(t) = 20000(t-10)

c)

20000(t-10) = 14000t

=> t = 200/6 = 37 approx.

year = 1937

d)

20000(t-10)+14000t >= 500000

=>

t >= 700/34 = 21 approx

=> 1921

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