Sangeetha Pulapaka
0
1. The function representing the number of mg of the medicine m, in the patient's body h hours after receiving the medicine.where t is the number of hours after receiving the medicine is  m = 999. (\frac{2}{3})^{h} This is because if \frac{1}{3} decays then we are left with \frac{2}{3}. Plugging in  t = 0 then the medicine left in the body will be 999. If h = 1, then we have m = 666

If h = 2, plug in h= 2 in the equation  and we get 999. (\frac{2}{3})^{2} = 444 to get the medicine left as 444. Plugging in h = 3 in the

equation and get 999. (\frac{2}{3})^{3}= 296 .This is how you complete the table.

2.The equation representing the number of mg of the medicine m, in the patient's body h hours after receiving the medicine is

m = 999.(\frac{2}{3})^{h}

3.Plugging in h = 15  in the equation 999.(\frac{2}{3})^{15} = \frac{32,735,232}{14,348,907} \approx 2.29 This means that the quantity of the medicine is almost zero.

Skills you may want to recall:

What is an exponential function

https://www.purplemath.com/modules/expofcns.htm

How to complete an exponential function table