Question

Insect larvae grow incredibly quickly over the first several days of their lives. The length of one particular species increases exponentially at a rate of 25% each day. A scientist studying this species of larva measures one specimen to be 3 mm in length at the beginning of his observation period. The scientist will transfer the larvae to a new environment once the larvae are over 9.16 mm long.

Answer 1

The exponent graph for this question would be: 
an= 3mm(1.25)^t

If the target length of the larvae is 9.16 mm, the time needed would be:
an= 3mm(1.25)^t
9.16 mm = 3mm(1.25)^t
3mm*3.053=3mm(1.25)^t
1.25^t= 3.053
1.25^t= 1.25^5
t=5