Question

A biologist places 4 thousand bacteria in a nutrient rich solution and monitors the rate of growth of the bacteria every 15 minutes. Use the table to find the best possible overestimate for the total amount of change in bacteria from 1 hour to 2 hours. Make sure to include units. I. Time in hours 0 .25 0.5 0.7 10 125 15 175 2.0 2.25 2.5 2.75 Rate of growth of bacteria in units 119 14 168 199 236 282 336 401 475 566 672 of one thousand1 bacteria per hour Explain why we cannot just multiply a growth rate times a time to compute the amount of change in bacteria. 2. 3. Let r represent the rate of growth of bacteria in units of one thousand bacteria per hour and let represent the number of hours elapsed since the initial 4 bacteria were placed in the nutrient rich solution. Explain what the following expressions represent (do not evaluate these expressions). a. 0.25(119+141 +168) b. Σ7-1(1.5 +0-1)0.25) . 0.25

Answer 1

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