Group Activity 259 21. The cost to rent a 10 ft by 10 ft storage space is $90 per month plus a nonrefundable deposit of $105. a. Write a linear equation to compute the cost, y, of renting a 10 ft by 10 ft space for x months. b. What is the cost of renting such a storage space for 1 year (12 months)? 22. An air-conditioning and heating company has a fixed monthly cost of $5000. Furthermore, each service call costs the company $25. a. Write a linear equation to compute the total cost, y, for 1 month if x service calls are made. b. Use the equation to compute the cost for 1 month if 150 service calls are made. 23. A bakery that specializes in bread rents a booth at a flea market.The daily cost to rent the booth is $100. Each loaf of bread costs the bakery $0.80 to produce. a. Write a linear equation to compute the total cost, y, for 1 day if x loaves of bread are produced. b. Use the equation to compute the cost for 1 day if 200 loaves of bread are produced. 24. A beverage company rents a booth at an art show to sell lemonade.The daily cost to rent a booth is $35. Each lemonade costs $0.50 to produce. a. Write a linear equation to compute the total cost, y, for 1 day if x lemonades are produced. b. Use the equation to compute the cost for 1 day if 350 lemonades are produced. Modeling a Linear Equation Materials: Yardstick or other device for making linear measurements Estimated Time: 15–20 minutes Group Size: 3 1. The members of each group should measure the length of their arms (in inches) from elbow to wrist. Record this measurement as x and the person’s height (in inches) as y. Write these values as ordered pairs for each member of the group. Then write the ordered pairs on the board. 2. Next, copy the ordered pairs collected from all groups in the class and plot the ordered pairs. (This is called a “scatter diagram.”) 80 70 Height Versus Arm Length 0 2 4 6 8 10 12 14 Height (in.) Arm Length (in.) 60 50 40 30 20 10 0 y x Group Activity
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