Question 2 options: Suppose it takes a minimum of 5 units of food to keep a pers
ID: 1118008 • Letter: Q
Question
Question 2 options:
Suppose it takes a minimum of 5 units of food to keep a person alive for a year, the population can double itself every 10 years, and the food supply can increase every 10 years by an amount equal to what it was in the beginning (year 0).
a) Assume that both the population and the food supply grow at these rates. Complete the following table by computing the size of the population and the food supply in years 10 through 60.
Instructions: Enter values in the blanks below from left to right as you move down each column.
Food Supply: a.
b.
c
d.
e.
f.
Population:
a.
b.
c.
d.
e.
f.
b) In the 30th year does the food supply meet the needs of the population? (Yes/No)
c) In the 40th year, is there enough food to meet the needs of the population? (Yes/No)
d) In year 50, what would the size of the population need to be in order to not run out of food? _______?______ people
e) In year 60, what would the size of the population need to be in order to not run out of food? ______-?_______people
Explanation / Answer
Year Food Population
0 200 20
10 400 40
20 600 80
30 800 160
40 1000 320
50 1200 640
60 1400 1280
b) In the 30th year, the food supply=160 and the need of the population=5*160 = 800 = food supply
Hence, Yes
c) In the 40th year, population=320, need = 5*320 = 1600 which is less than 1000. Hence, not meet
d) In year 50, food = 1200, needed population to be in order to not run out of food = 1200/5 = 240 people
e) In year 60, food = 1400, needed population to be in order to not run out of food = 1400/5 = 280 people
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