Question

rs when first planted in a garden are approximately 10 cm in height. After one day the sunflowers grow to approximately 11cm. The sunflowers will eventually grow to an approximate height of 250 cm. The sunflowers growth can be represented by a logistic model h(t) 1 +Ae-Kt where h represent in height of the sunflowers, in centimetres, andt represent the number of davs sin ce sunflowers were planted. (a) Determine the function for sunflower growth, that is, find the values of A, M, and K b How long will the sunflowers take to grow to your height? Make sure you identify your height in your working. (c) The lifespan for the species of sunflowers planted is about 90 days, therefore the physically implied domain of h will be t E [0,90]. Calculate the height for t -10, 20, 30, 40, 50, 60, 70, 80, 90. Plot these values and sketch a curve through these points to demonstrate the logistic curve.

Answer 1

t.う。 a d Rt.rgnes e NV.0re스 elmas oad A. 24 i 2 +27 22-72 21.72 t-lo 250