Question

1. Urethane foam doubles in volume every 7 seconds after it is applied. a. What is the growth rate? b. If you initially apply 2 cubic inches of urethane, what will the volume be after 31 seconds? c. How many seconds would you have to wait until two cubic inches of urethane fills a 12 oz soda can? (A soda can has a volume of 21.6 cubic inches) 2. A biologist is researching a newly-discovered species of bacteria. At time t=0 hours, she puts one hundred bacteria into what she has determined to be a favorable growth medium. Six hours later, she measures 450 bacteria. a. What is the growth constant for the bacteria? b. If she allows the bacteria to continue to grow, how many will she have in 26 hours? c. When will she have one million bacteria? 3. Solve the previous problem again. This time use 7 as the exponential base instead of e. a. Which parts of the answer are the same and which parts are different? b. Try again with another base of your choosing. c. What happens if you choose a negative number for the base?

Answer 1

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let go (2) g=0-10408as ga lo- yor95 y. t Ultir 2(1.1oyorisst Y( 31 ) 2(1.104089583 cubirince, 43.0688 t © 21. 6 ulto = 281.1040895) en (21.682) 24.030 en (lolo 4089) ta 24 seconds t-