A colonial settlement started with 500 people and food sources adequate to feed 500 people. They are able to expand their resources to feed 30 additional people each year. The population is growing at 5% per year. a. Create an equation that models the number of people that can be fed in a given year. b. Create an equation that models the number of people, the population, in a given year. c. Use Excel to create a list of values for the number of people that can be fed, and for population for years 0 – 10.
A colonial settlement started with 500 people and food sources adequate to feed 500 people. They are able to expand their resources to feed 30 additional people each year. The population is growing at 5% per year. a. Create an equation that models the number of people that can be fed in a given year. b. Create an equation that models the number of people, the population, in a given year. c. Use Excel to create a list of values for the number of people that can be fed, and for population for years 0 – 10.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A colonial settlement started with 500 people and food sources adequate to feed 500 people. They are able to expand their resources to feed 30 additional people each year. The population is growing at 5% per year.
a. Create an equation that models the number of people that can be fed in a given year.
b. Create an equation that models the number of people, the population, in a given year.
c. Use Excel to create a list of values for the number of people that can be fed, and for population for years 0 – 10. Create a scatterplot with smooth lines and markers of the values. Hint: remember you can adjust your axes in Excel, it may be helpful to start the y-axis at 500.
d. Analyze your findings from the graph. Is one of the values above/below the other, for which years? What does it mean for the settlement if/when the lines cross?
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