Comparing Functions in the Real World Answers

In 2010, Washington Township created recreational soccer programs for the spring and fall seasons. The table shows the number of participants who registered for each season during the first four years.Participation in Town Soccer ProgramsYearSpring leagueFall league2010681452011791482012901512013101154Which statement best describes the programs?

Alaina wants to decide whether her current cell phone plan is better than a package that another company offers. To compare the two plans, she plotted two lines on a graph, where y represented the total cost of one month’s service and x represented the megabytes of data that she used in a month. Which part of the graph will represent the cost per megabyte of data used in each plan?

Gina is comparing four long distance phone plans. The table shows the cost of each plan.Cost of Phone PlansPlanMonthly FeeCost per MinuteA$15$0.05B$5$0.15C$10$0.10D$20$0.20If Gina plans to use 500 minutes each month, the most cost effective plan is

The libraries in four counties assess late fees for overdue videos by using linear functions. Each library charges a base amount plus a penalty for the number of weeks that the video is overdue. The equations that model the cost, y, in dollars for videos that are x weeks overdue are shown in the table.Late Fee EquationsCounty libraryLate fee functionCumberlandLincolnOceanSummitWhich two county libraries charge the same penalty per week?

Marissa researched the cost to have custom T-shirts printed by several local and online vendors. She found that each store’s charge for the job could be modeled by a linear function that combined a flat charge for artwork with a per T-shirt rate. Marissa plotted the functions on a coordinate grid and found that two of the functions produced lines that had the same y-intercept. How should Marissa interpret this result?

A scientist created a scatter plot to represent the heights of four plants over time. Then, she found a line of best-fit to model the height in centimeters of each plant after x days. The equations of each trend line are given in the table.Trend Line EquationsPlantEquation of trend line1234According to the trend line equations, which plants are growing at the same rate per day?

The Perez family is researching the cost of keeping their dog at a kennel during an upcoming vacation. The local kennel allows “Silver” families to pay a rate of $36 per day. For a fee, families can buy a “Gold” membership and will be allowed to board their dogs at a discounted rate as shown in the table.Total Cost, Including Membership Fee, to Board a DogType of membership1 Day2 Days7 DaysSilver$36$72$252Gold$70$90$190What is the cost of a Gold membership?

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.Which statement is supported by the graphs?

Amelia and Carmen read every night. Amelia reads the same number of pages each night. So does Carmen. The table shows the number of pages that each girl has left to read after 2, 4, 5, and 7 nights of reading their books.Pages Left to ReadNightsAmeliaCarmen222522441751605150128710064Whose book has the greater number of pages?

Ashley started the year with 45 comic books. Each month, she adds 5 more comic books to her collection. Which table correctly represents y, the number of comic books in her collection, after x months?