Part of your summer job is to count the number mosquitoes that get caught in traps around your city. At one trap, you count mosquitoes each week ("week 0" means the first day you counted) and record the following numbers:
Use a calculator or graphing technology to determine which of the following functions matches the numbers you counted in these first few weeks.
Question 1 options:
w=8(1.5M)
M(w)=8(1.5w)
M(w)=1.5(8w)
M(w)=4w+8
Question 2 (5 points)
The supervisor at vector control wants your report of how the mosquito population is growing. Do you think your report is better supported by the table above or by a graph of the growth function as show below? WHY? Explain the reasoning behind your conclusion.
Question 2 options:
Question 3 (5 points)
After how many weeks do you think it would be unreasonable to continue counting individual mosquitoes? And finally, at the end of the 13-week mosquito season, how many mosquitoes would you expect to be in the trap? Use complete sentences to explain both of your answers below.
Question 3 options: