3. We all have bacteria on our skin, and they multiply quite rapidly. Suppose th

Question

3. We all have bacteria on our skin, and they multiply quite rapidly. Suppose there are 800 bacteria left on your skin immediately after you shower at 5pm Saturday. Suppose that this colony of bacteria doubles every 4 hours. When (day and time) will more than 1 billion bacteria be on your body? a) Build a table of corresponding values (minimum of 5). b) Write a symbolic function that models the table of values. c) Use your technology to create a graph of your symbolic model (and draw a sketch of it, scale and label axes). You can scan in your freehand sketch or copy/paste a graph that you create electronically. d) Use the model to make the indicated predictions (include units in your answers!). Round to 2 decimals (nearest hundredth) where appropriate.

Explanation / Answer

so it doubles every 4 hours 800*2^t=1000000000 (note t is in 4s) so 10000000/8=2^t log base 2 of (1250000)=t 20.253=t 20.253*4=81 hours the function I used, but if you want t in single hours use 800*2^(4t)=population c) what technology?

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