Here we need to graph a funton, ths funton has the form A(t)=Pe^rt You wll need

Question

Here we need to graph a funton, ths funton has the form A(t)=Pe^rt

You wll need to fnd P and r usng ths nformaton. We want to remake a realty show that featured castaways that were never rescused and the populaton of the sland remaned the same. Here we want to allow the numver of castaways to grow over tme accordng to the exponental growth funton A(t)=Pe^rt   castaways

For ths stuaton: P represents the startng poulaton of castaways when the remake debuts.

                     r represents the contnuous growth rate by percent per year.

                     t represents the number of years from when the remake debuts.

We have not settled on a number of castaways. We want to assume the startng populaton wll be equal to total number of letters n your frst and last name (13). We hope that the seres wll run for a length of tme equal to 10+ the number of letters n your mddle name (6), and that the number of castaways wll double durng ths run.

Under these assumptons, we would lke you to create a schedule that ndcates the number of cast members durng each of the frst ten years of the run of ths remake.

Explanation / Answer

so we are told that P = 13

and that after 6 years A =26

so 26 = 13 e^(k*6)

k=0.1155

so A = 13e^(0.1155 t)

so then for the first 10 years A will be

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