The amount of caffeine consumed from a glass of diet pepsi is proportional to the number of ounces that was drank. the table below shows the amount of caffeine consumed by three different people and the corresponding number of ounces of diet pepsi that they each drank. amount of caffeine (mg) 24 36 48 amount of diet pepsi (oz) 8 12 16 what is the unit rate (or constant of proportionality)? write an equation to represent this proportional relationship. make sure to define the variables you used.

One integer is 8 times another. if the product is 72, then find the integers

Explain in a minimum of 2 sentences how to graph the equation of the absolute value function given a vertex of (-1,3) and a value of “a” equal to ½.

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.