Question

Exit Task for 5.05

Answer 1

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:

$f(t)=8\cdot 2^t$

Jessica finds that the growth function over  t weeks is defined by the function:

$g(t)=2^{t+3}$

After 5 weeks:

Number of Jacob's dandelions

$f(t)=8\cdot 2^t\\=8\cdot 2^5\\=8*32\\=256$

Similarly,

Number of Jessica's Dandelions

$g(t)=2^{t+3}\\=2^{5+3}\\=2^8\\=256$

After 5 weeks, Jacob and Jessica will have an equal number(256) of Dandelions.