Answer:
(a)Jacob: 256 dandelions
(b)Jessica: 256 dandelions
Step-by-step explanation:
Jacob discovers that the growth over t weeks can be defined by the function:
[tex]f(t)=8\cdot 2^t[/tex]
Jessica finds that the growth function over t weeks is defined by the function:
[tex]g(t)=2^{t+3}[/tex]
After 5 weeks:
Number of Jacob's dandelions
[tex]f(t)=8\cdot 2^t\\=8\cdot 2^5\\=8*32\\=256[/tex]
Similarly,
Number of Jessica's Dandelions
[tex]g(t)=2^{t+3}\\=2^{5+3}\\=2^8\\=256[/tex]
After 5 weeks, Jacob and Jessica will have an equal number(256) of Dandelions.
