A population of beetles is growing according to a linear growth model with a time interval of 1 week. At the start there are 30 beetles, and in the 8th week there are 670 beetles.

A) Write a recursive formula for the beetle population.

B) Write an explicit equation for the beetle population.

C) How many beetles will there be in week 62, assuming the model continues to hold.

D) In what week will the beetle population reach 1000 beetles.