The table shows the density y of a species of insect measured in thousands per a

Question

The table shows the density y of a species of insect measured in thousands per acre after x days. 10 12 14 4 0.33 1.07 2.48366 4.23 4.37 4.32 (a) Find a function f that models the data (b) Use f to estimate the insect density after a long time. (a) Find a function fthat models the data. Select the correct choice below and fill in the answer boxes within your choice (Round to four decimal places as needed.) (b) The insect density after a long time is approximately thousand per acre. Round up to the nearest whole number.)

Explanation / Answer

Solving (ii) and (iii) we get, A = -526.117449 and B = 236.658197

Therefore, the curve is : v = (-526.117449) + (236.658197)u

i.e., (y-3.66)*100 = (-526.117449) + (236.658197)ln(x)

i.e., y = (-1.601174) + (2.366582)ln(x)

i.e., y = (-1.6012) + (2.3666)ln(x)

b) After a long time, the density will be 0.

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