Exercise (b) How many bacteria are there after t hours? Step 1 If there are two doubling periods per hour, then in t hours there will be 2t y = 600 2t Step 2 Therefore, after t hours (or 2t doubling periods), the initial 600 bacteria increase to a population y given as follows. 600(24) 11 doubling periods.

12:36 D all al + business math midter... Now we solve it using a special method: Multiply across the known corners, then divido by the third number And we get this: using the above method 7= (42 x 10)/ 20 = 420 / 20 =21 N:42 = 10:20 20N = 42 x 10 20N = 420 N= 420/20 N= 21 therefore 21:42 - 10:20 is proportion So you should draw the head 21 long. Therefore 21:42 = 10:20 is proportion because the product of 21 and 20 is the same as the product of 42 and 10 which is 420. PEXERCISE 3.4: Find the missing number in the lollowing 1. 4:6 6:N 2. 4:N = 10:15 3. N:4 = 25:20 4. 8:10 = N:15 5. 8:N = 40:45 6. N:30 = 28:42 7. 48:N = 16:15 8. 20:4 = N:2 9. 24:4 = N:3 10. 6:N= 8:20 11, 2:6 = 8:N 12. N:32 = 2:8 13. 4:5 - 12:N 14. B/N = 40/45 15. N/30 = 28/42 16. 48/N = 16/15 17. N:100 = 1:4 18. 5:N = 140:7 19. 6:N= 12:14 20. 5:3 = N:60 MAH BM Business Mathematical Modue i RMGumanoy/BRHodrgier 36/41 LESSON 4 GHAPTER 4 COMMISSION: NET PROCEEDS > Formulas Involvina Commission Problems II

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8. Exponential candy A student opened a bag of M&M'S® Chocolate Candies, dumped them out, and ate all the ones with the "M" on top. When he finished, he put the remaining 30 M&M'S back in the bag and repeated the same process over and over until all the M&M'S were gone. Here are data on the number of M&M'S remaining at the end of each of the first 6 courses. Course Number remaining 1 2 3 4 5 6 30 13 10 3 2 1 (a) Calculate an exponential model for these data using course as the explanatory variable. (b) Sketch the scatterplot, along with the exponential model. (c) Calculate and interpret the residual for the first course.

The population of the world¹ t years after 2010 is predicted to be P = Round your answers to one decimal place. (a) What population is predicted in 2026? The predicted population of the world in the year 2026 is i (b) What is the predicted average population between 2010 and 2026? The average population of the world over this time period is i 6.77e0.0121 billion. billion people. billion people.

No SIM 2:54 PM 1/3 In favourable breeding conditions, the population of a swarm of desert locusts can multiply 10-fold in 20 days. How long will it take for the population to increase to 1000 times its original population? Explain how you solved this problem. Gauth /math

2. The population of a small town has been growing and is shown in the table below t, the years since 1980 P(t), the population 10 20 30 1500 2329 3618 5618