Q 1. Which of the following is an example of exponential decay? O A(t) = 40e-0.3t A(t) = 1 40 A(t ) = - 40 0.3t O A(t) = 40e0.32 2. Isabella, a teacher's assistant, is creating a quiz. After reviewing Isabella's quiz question below, what information is missing? When Xavier's son was born, he opened a bank account with a continuous interest rate of 3.5% so that he could use this money purchase his son a car. Xavier's goal is to have at least $20,000 in account by his son's 16th birthday. Find the amount of money in Xavier's account after 16 years? Will he have enough to buy his son a car? the number of times that interest is compounded per year O Interest Rate the principal investment amount O the time the money is investedj '_,J 3A radioactive substance has a decay rate of 15% per year. If we initially have 7 grams, which of the following models will nd the how many grams will remain in tyears. 0 Am : 7515' 0 Am : 7815' 0 Am : 7e\" 0 Art) = 7e" 180 H' 4H!) fort=2 J 4 Using a calculator, evaluate A(t) = 0 80.879 0 66.218 0 537.057 0 400.597 j 3 5 Which of the following functions represents continuous exponential decay? .033) _ .03 AG?) _ 27[1+ E] 0 AG) : 27cm\" 0 Arr) = Net-\"3'\" .03 .033) 12 A(t)=27[1 j j 6. Which of the following scenarios represents discrete exponential growth? El Georgia's population rose slightly by 0.6% recently. With 3,968.912 Georgians in 2022. how many residents will be in Georgia next year? B Your dad bought you a $30,000 car; however. the car's value depreciates at a continual rate of 2% each year. How much is your car worth after 6 years? D As two grad students stare into a petri dish containing bacteria, they notice the bactera tripled over 15 minutes, how many bacteria will exist in 10 hours? B You deposited 360 into your rst bank account ith an interest rate of2.3% compounded monthly. How much money will you have earned in 4 years? [J g 7 Using a calculator, evaluate A0) : le'm\" fort= 2-7 O 0.038 O 2.890 O 2.003 O 1.957 3 [1 D a Amelia is running for school president and would like to spread her message as fast as possible. Help her by answering her questions below. Part A: ill tell two classmates, and my message continuously spreads 40% each day, how many people will Know aftert days? Help her create a model while explaining each step in the process and label each variable in context to his situation. Part B: How many people will know my message after 10 days? Explain your process so that she can replicate this for 15 days. Part C: We have 2352 students at my high school. i only have a 30 days to advertise my candidacy. Will I reach the student body by this time? Explain why or why not Q Q9. Jiraiya researched deer population in the area and created the following model to assist him in predicting how many deer would exist att = 10, A(10) = 60e" . What value represents the initial number of deer in his model? O 0.04 O 10 O 60 Oe