A biologist just discovered a now strain of bacteria that helps defend the human body against the
Question:
A biologist just discovered a now strain of bacteria that helps defend the human body against the flu virus. To know the dosage that should be given to someone, the doctor must first know If the bacteria can multiply fast enough to Combat the virus. To find the rate at which the bacteria multiplies. she puts 10 cell in a petri dish. In an hour, she cones bath to find that mere are now 12 colts in the dish.
Complete the table to show C(h) the number of cell that will be In the dish after h hours. Then Plot the punts on the graph below (Round to the nearest whole cell)
H | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
C(h) | 10 | 12 | | | | | | | | | | | | | | 154 |
a. Use the patter you used b N in the table to write a function C(h) to represent the number of cells after h hours
C(h) =
b. Graph C(h) in your calculator (don't forget to adjust the window) and compare it to the data you plotted. Does the graph match the data?
c. Use the function to find the number of cell present after a full day. Round to the nearest cell
d. If it takes 1.750 cells to make an effective dosage, about how many hours will it take to make a dosage star 10 cells?
e. How does the actuation change if the biologist starts with 75 cells? What would the new equation be? How would that change the graph?
f. How long would it take to make a composite dosage if the biologist starts with 75 cells?