Question

Give an exponential formula for the number of hiv infections, upper h, (in millions) as a function of years, t, since 1985. Use the form upper h equals upper h subscript 0 baseline e superscript k ⁢ t.

Answer 1

we can sue formula

$P(t)=P_0e^{kt}$

where

P(t) is population after t years

P0 is initial population

k is growth rate

t is time in years since 1985

Let's assume

h(t)=P(t) is million

h_0=P_0 in million

we can replace it

and we get

$h(t)=h_0e^{kt}$..............Answer