Mike works two part time jobs while going to college. he works 8 and half hours a week at the ice-cream store for $10.55 per hour and 7 hours a week at the movie theater for 13.85 per hour. work each of the following problems in decimal form.
1. how much does mike earn a week before taxes are taken out of his paycheck?
2. if 22 percent of mike’s paycheck is withheld for taxes, how much money is left for mike?
3. at which job does mike earn the most before taxes, how much more?
4. if mike spends $50 a week on entertainment, what percent of mike’s paycheck is left after he pays taxes? in decimal form.

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?