PLS HELP 50 POINTS+ BRAINLIEST

*PLS write recursive equations for A &B

5.) In an episode of Star Trek, an alien contaminates the Enterprise with a strange virus. Ten members of the crew get the disease within one hour and one hour later, a total of 22 crewmembers have been infected. So (0, 10) and (1,22)
a.) Assume the number of people infected with the disease each hour is growing linearly. Write an explicit equation for this situation.

i.) How many people would be sick after 3 hours? Show work

ii.) How long would it take for the disease to infect 100 people? Show work

iii.) Dr. McCoy finally discovers an antidote, but it takes him 8 days. He only has enough serum for 2000 people. Is this enough? Show/Explain why or why not

b.) Now assume the disease spreads exponentially. Write an explicit equation for this situation.

i.) How many people would be sick after 3 hours? Show work

ii.) How long would it take for the disease to infect at least 100 people? Show work

iii.) About how many hours does Dr. McCoy have to discover an antidote if he will only have enough serum for 2000 people? Show work

c.) Graph each of the two situations above. Make hours the independent variable, and the number of infected people the dependent variable. Set the scale of each axis to include up to 2000 people. You can do this in Desmos and include a screenshot or on graph paper.