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A population of bacteria grows according to the function is g(t)=10020.25t. Where t is time in hours. a. How big is the population at time 0 ? b. How big is the population after 1 hour? c. How long is it going to take for the population to double? d. Write the function using the three forms used in class. - abt - a(1+r)r - aedt The cost of a $500 payday loan at Loan Sharks inc is 3% interest plus $20 a month. Let t be the number of months the money is borrowed for and f(t) be the amount owed after t months. ex. After one month the current balance will be f(1)=500(1.03)+20=535 a. Make a spreadsheet that will compute the amount owed after 0,1,2,12 months. - Just like in class you should have cells where you can enter and change the amount borrowed, the monthly interest, and the monthly fee. - Changing those values should change the values of the function f(t). - Use text (in textboxes and cells) to make it clear what each entry is. Upload your spreadsheet to Moodle b. Make a plot (in Excel) of the amount owed for 0 to 12 months. c. How much did it cost to borrow the money for 12 months? d. What was the average cost per month? h(x)=x3+2x2+3 a. What is the Marginalh (2+1) ? b. How does the value of h(x) change from x=2 to x=3 c. What is the average rate of change from x=2 to x=3 d.. How does the value of h(x) change from x=2 to x=5 e. What is the average rate of change from x=2 to x=5 1. How does the value of h(x) change from x=2 to x=2.5 g. What is the average rate of change from x=2 to x=2.5

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