Reference no: EM13196969
Growth Modeled by a Radical Equation:
Suppose instead that the town experiences growth that can be modeled by the following: where t is the number of years from 2010.
a) Insert the value of that your group has decided upon into the equation above. Use the Equation Editor or type square root of t as sqrt(t).
P=1500 sqrt(t) +P
P=1500 sqrt (0) + 8000 = 8,000
P=1500 sqrt (1) + 8000 = 9,500
P=1500 sqrt (2) + 8000 = 10,121
P=1500 sqrt (3) + 8000 = 10,598
P=1500 sqrt (6) + 8000 = 11,674
b) Fill in the following chart. Round to the nearest whole person when necessary.
Year (t) Population (P)
t = 0
(2010) 8,000
t = 1
(2011) 9,500
t = 2
(2012) 10,121
t = 3
(2013) 10,598
t = 6
(2016) 11,674
c) Use your equation from part a) to approximate how many years it would take for the population to reach 12,000. Round the nearest whole year when necessary.
8 years:
P=1500 sqrt(8) + 8000 = 12,243
d) Graph this function in MS Excel by plotting the points found in your chart in part b. You may also use another web-based graphing utility. Label your axes with time on the x-axis and population on the y-axis. Copy and paste your graph here:
Answer: