Answer :
Complete the Statement:
Every Year, ____% of Branches are [added to/subtracted from] the Total Number of Branches
Answer:
- 75%
- Added To
Step-by-step explanation:
The relationship between the elapsed time, t, in years, since Akiba started studying his tree, and the total number of its branches,N(t)is modeled by the following function: [tex]N(t)=42\cdot 1.75^t[/tex]
If we look at the growth function, we can re-write N(t) below:
[tex]N(t)=42\cdot 1.75^t\\=42(1+0.75)^t\\=42(1+\frac{75}{100} )^t\\N(t)=42(1+75\% )^t[/tex]
We can see the following:
- Akiba's Tree initially had 42 Branches
- The number of branches grew by 75% each year, therefore 75% of branches are added to the total number of branches.
