Michael is to plan a family reunion. a park charges $200 plus a charge of $2 per person to rent out its pavilion for the day. this situation can be represented by the equation y = 2x + 200 where y is the total cost and x is the number of people attending the reunion. another local park charges the same deposit, but $3 per person. what should be changed in the equation y = 2x + 200 to represent this situation?

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

Select the number of ways in which a line and a circle can intersect

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.