Question

Exit Task for 5.05

Jacob and Jessica are studying the spread of dandelions. Jacob discovers that the growth over
weeks can be defined by the function = (8) 2. Jessica finds that the growth function over
weeks is S) = 2 Calculate the number of dandelions that Jacob and Jessica will each have
after 5 weeks.​

Answer 1

(a)Jacob: 256 dandelions

(b)Jessica: 256 dandelions

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.