The Patel family looks at the map to plan their family vacation. They plan to travel from Key West to Miami which are 3 inches apart on the map. Then they plan on traveling from Miami to Orlando which are 4.5 inches on the map. The scale on the map is 1/2 inch equals to 30 miles. What is the actual distance the Patel family will travel by the time they reach Orlando? Free Apple Card code if you get it right

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?