Comparing Functions in the Real World Answers

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?

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?

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?

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 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 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?

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 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?

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?

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?