8.) Yesterday, a movie theater sold 307 bags of popcorn. A large bag costs $3. A small bag costs $1. In all, the movie theater made $509 from popcorn sales. Write and solve a
system of equations to find how many bags of each size of popcorn were sold. Show ALL
work!

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.

Problem ann increased the quantities of all the ingredients in a recipe by 60\%60%. she used 8080 grams (\text{g})(g) of cheese. how much cheese did the recipe require?

Which line on the graph could represent this scenario?