5. Salmonella bacteria, found on almost all chicken and eggs, grow rapidly in a nice warm place. If just a few hundred salmonella bacteria are left on the cutting board when a chicken is cut up, and they get into the potato salad, the population begins compounding. Suppose the number present in the potato salad after t hours is given by f(t) = 900 . 2", a. If the potato salad is left out on the table, how many bacteria are present 1 hour later? b. How many were present initially? c. How often do the bacteria double? d. How quickly will the number of bacteria increase to 3,686,400? a. There will be bacteria present 1 hour later. b. There were bacteria present initially. c. The bacteria double every hour(s). (Type an integer or a simplified fraction.) d. The number of bacteria will increase to 3,686,400 in hour (s ) . (Type an integer or a simplified fraction.) 6. The growth of a certain species (in millions) since 1970 closely fits the following exponential function where t is the number of years since 1970. A(t) = 3300 e 0.0166t a. The population of the species was about 3906 million in 1980. How closely does the function approximate this value? b. Use the function to approximate the population of the species in 2000. (The actual population in 2000 was about 5540 million) c. Estimate the population of the species in the year 2015. a. Choose the correct answer below. A. The population of the species in 1980 is approximately 3396 million. This is not a close appoximation to the actual va million, because the approximation does not take into account a massive growth increase between 1970 and 1980 B. The population of the species in 1980 is approximately 3896 million. This is fairly close to the actual value of 3906 mi the percentage difference is very small. O C. The population of the species in 1980 is approximately 3896 million. This is not a close appoximation to the actual va million, because the difference in the two populations is ten million, which is large b. The approximate population in 2000 is million. (Round to the nearest whole number as needed.) c. The approximate population in 2015 is million. (Round to the nearest whole number as needed.) 7. Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 2744 (7 -0.21) , where t is measured in months. a. How much will be present in 7 months? b. How long will it take to reduce the substance to 8 grams? grams of the substance present in 7 months. a. There will be (Round to the nearest gram as needed.) b. It will take months to reduce the substance to 8 grams. (Round to the nearest month as needed.)