Comparing Functions in the Real World Answers

The table shows the cost for taxi rides of various distances.Cost of Taxi RidesDistance, in miles (x)Cost, in dollars (y)51682510311237Which graph displays the same function?

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?

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?

The table shows the distance that two trains are from Center Station at various times of the day. Miles From Center StationTime of dayTrain 1Train 211:3013712:00312712:455857How do the speeds of the trains compare?

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?

Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linear relationship between the total cost of belonging to a club and the number of months that you are a member. Each club charges monthly dues, and some clubs require new members to also pay a one-time membership fee. The total costs of being a member for 6 months, 12 months, and 24 months at each of three clubs are shown in the table.Total Cost of Fitness Club MembershipLength of membershipClub 1Club 2Club 36 months$108$120$12612 months$216$210$25224 months$432$390$504How many of the clubs require new members to pay a one-time membership fee?

Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorporates a flat base fee and an hourly rate to determine the cost of service. Those formulas are shown in the table.Repair Cost FormulasElectricianCost in y dollars for an x-hour service123Which statement is best supported by the table?

Both Alex and Chris left their homes at 7:00 a.m. and walked to school. The graph shows the distances that each boy was from school as they walked.Which statement is best supported by the graph?

Four plumbers each charge a flat fee plus an hourly rate for repair visits. The table shows their total costs for repairs that required various amounts of time.Total Cost of RepairsHours needed for repairCost for plumberACost for plumberBCost for plumberCCost for plumberD1$35$55$50$502$65$75$75$603$95$95$100$70Which plumber charges the greatest hourly rate?

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?

Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor. The sensor recorded the distance to each car in the table below.Distance from Sensor to Each CarTime since starting carsDistance to Brian’s carDistance to Kelsey’s carDistance to Geoff’s car1 sec34 cm27 cm27 cm3 sec38 cm31 cm33 cm5 sec42 cm35 cm39 cm8 sec48 cm41 cm48 cmWhich statement is best supported by the table?

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?

The graph shows the number of public service announcements that a radio station played throughout the day.Public Service Announcements (PSAs) AiredWhich equation can be used to represent the number of public service announcements, y, in x hours?

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?

The cost to produce a bag of golf tees is modeled by the function that is graphed below. Production Costs for Bags of Golf TeesWhich table shows this same function?

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

Louise is reading a 300-page book. She reads 15 pages every day. Which graph correctly displays y, the number of pages that Louise has left to read after x days?

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?