Comparing Functions in the Real World Answers

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?

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?

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?

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?

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?

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?

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?

Regina is comparing the cost to rent a car from four different companies. She found that the cost to rent from each company can be modeled by a linear function of the number of miles driven. The formulas for each company are shown in the table.Daily Cost to Rent a Car Driven x MilesCompanyCost in dollars1234Which statement is best supported by the table?

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?