Exponentials and Semi-Log Plots EXERCISE This table and plot display the populat

Question

Exponentials and Semi-Log Plots EXERCISE This table and plot display the population P of yeast cells observed in a sample of grape juice being fermented into wine, measured over a time t The data looks like the relationship between P and is not a linear one. Explain why we would conclude that P does not follow, the function P-mt (Draw on the graph if that helps) (minutes)P t (minutes) 12 37 112 341 1035 3143 9548 2 4 6 Population of yeast cells in grape juice 10000 r 8000 4000 2000 0 t (minutes)

Explanation / Answer

  t in minutes

population

1

12

2

37

3

112

4

341

5

1035

6

3143

7

9548

We would conclude that P does not follow the function of P =mt because this function shows the equation of line. M is the slope of line i.e. m = P/t

If you see the all values in tabular form then you can find that for each values of P and t , the slope value is different. That means there is no linear relationship between P and t.

That’s why We would conclude that P does not follow the function of P =mt

You can see the graph and also understand that there is no linear relation between P and t.

  t in minutes

population

1

12

2

37

3

112

4

341

5

1035

6

3143

7

9548

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