A bus and a Nissan left Nairobi for Eldoret a distance of 340 km at 7 a. m. I was travelling at 100 km per hour while the Nissan at 120 km per hour after 30 minutes then Nissan had a puncture which took 30 minutes to mend. a) how far from Nairobi did the Nissan catch up with the bus

b) At what time of the day did the Nissan catch up with the bus

c) At what time did the bus reach Eldoret

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?