A rental car company charges $41.50 per day to rent a car and $0.10 for every mile driven. Mia wants to rent a car, knowing that:
She plans to drive 225 miles.
. She has at most $230 to spend.
Write and solve an inequality which can be used to determine x, the number of days
Mia can afford to rent while staying within her budget.

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?