Answer:
C: the number of leaves is multiplied by 2 each week
Step-by-step explanation:
The right expression should be 5(2) ^ t =[tex]5(2)^{t}[/tex]
where t represent the number weeks after it planted.
If we put 0 to the time(t) we will know how many leaves initially are. The calculation will be:
[tex]5(2)^{t}[/tex]= [tex]5(2)^{0}[/tex] =5
This show that coefficient 5 determine how much the leaves initially are.
Let see how the number going for different value of t. If its 1 week after plant, the leaf will become:
[tex]5(2)^{t}[/tex]= [tex]5(2)^{1}[/tex] = 10
Then the number of leaves 2 weeks after planted will be:
[tex]5(2)^{t}[/tex]= [tex]5(2)^{2}[/tex]= 20
The number keeps double every week since coefficient 2 represents the ratio of the growth of the function and the ratio determines how much leaves multiplied each week.
So, the answer will be C.
