Madison is organizing her bookshelf. She places her favorite book on the first shelf. She puts 2 books on the second shelf and 4 books on the third shelf. She continues by putting 8 books on the fourth shelf and 16 books on the fifth shelf. She has one more shelf left. Answer the following:
If this pattern continues, how many books will be on the last shelf? In a complete sentence, explain how you found your answer.

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.