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.
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
