Afrozen yogurt shop offers a rewards system for frequent customers. the graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased. which statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt? a rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same. a rewards customer pays $5 per ounce because the total amount paid is always increasing. a rewards customer pays $20 for 10 or 12 ounces of yogurt because the total amount paid is increasing. a rewards customer earns 5 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

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?