Station 1: Find a Place to Live! You are trying to find a 1 bedroom, 900 square foot apartment and are torn between the 2 apartment complexes listed below. Which one is the better deal if you plan to lease the apartment for 1 year (12 months)? East Cobb Place First Month Free! Equation for calculating the price (y) using the square footage (x): y = 0.8x + 200 East Cobb Apartments 1st 3 months are 50% off! Equation for calculating the price (y) using the square footage (x): y = 0.9x + 150 You show up to sign the paperwork for the cheaper apartment and find out that there is a $150 annual pet deposit (non-refundable!) for your ferret named Frankie. The complex that you turned down does not have a pet deposit. Now, which complex is the better deal financially? Station 2: Get Movers! Nick is moving into a new apartment and hires East Cobb Movers to help. He is moving a distance of 150 miles. East Cobb Movers charges $0.75 per mile moved. He calculates that he will need to hire the movers for 7 hours of loading and unloading (at $58 an hour) & 5 hours of packing/unpacking. The total bill was $945, but he lost the rest of the estimate. a. How much will Nick have to pay for the 150 miles? b. What is the hourly charge for loading/unloading? $58 per hour c. What is the hourly charge for packing/unpacking? (round to the hundredths place) d. East Cobb Movers is running a special! The first 30 minutes of loading/unloading is free AND the first 60 minutes of packing/unpacking is free. What is Nick’s new total? Don’t forget to include mileage and tax! Station 3: Go Green! Number of gallons purchased Price per gallon Total gas cost Gas cost per person a Number of people in car pool 3 10 $3.99 12 c $48.96 d $12.24 e $4.15 $70.55 5 f 26 g $111.80 5 h i $3.59 $53.85 j $17.95 20 k $75.80 4 m b You are creating an office “Go Green!” campaign. Your first idea is to organize carpools to and from work. Find the missing numbers on the chart above. When you are done, come up with a creative “Go Green” slogan. Station 4: Get a Car! Age of Car 0 1 2 3 4 5 6 7 Value $42,000 $40,500 $38,000 $36,750 $35,900 $33,625 $32,250 $30,800 Age of Car 8 9 10 11 12 13 14 15 Value $28,000 $27,200 $26,800 $25,500 $24,600 $23,750 $22,900 $21,500 Use your calculator to help answer the questions below. Don’t forget: y = mx + b a. Find the linear depreciation equation for years 0 – 15. Round to the nearest whole number. y = -1,364x + 40,857 b. Using your answer in part a, find the value of the car after 102 months. c. Using your answer in part a, find the approximate age of the car when the value is $15,000. d. Find the linear depreciation equation for years 0 – 7. Round to the nearest whole number. e. Find the linear depreciation equation for years 8 – 15. Round to the nearest whole number. f. Compare d & e to each other (look at the slopes!) and state the meaning of the similarities or differences. Station 5: Decorate! You would like to paint two rooms in your new house. Both rooms are rectangular & a gallon of paint will cover 200 square feet. You may not use part of a gallon. Here are the details… Bedroom: 12 feet by 10 feet with an 8 foot ceiling Wall Color: Carnation Pink ($24.99/gallon) Ceiling Color: Razzle Dazzle Rose ($18.99/gallon) ON SALE!! 25% OFF Living Room: 14 feet by 18 feet with an 8 foot ceiling Wall Color: Atomic Tangerine ($30.50/gallon) ON SALE!! BOGO FREE!!!! Ceiling Color: Unmellow Yellow ($21.99 gallon) Which room is more expensive to paint? Name ___________________________________________________ Answer sheet Station 1Cost per year for East Cobb Place: _______________ Cost per month for East Cobb Place: ___________ Cost per year for East Cobb Apt: ____________ Cost per month for East Cobb Apt: _____________ Which apartment complex has the pet deposit? ____________________ After the pet deposit is factored in: Cost per year for East Cobb Place: _______________ Cost per month for East Cobb Place: ___________ Cost per year for East Cobb Apt: ____________ Cost per month for East Cobb Apt: _____________ Better Deal: _____________________________ -------------------------------------------------------------------------------------------------------------------Station 2a. How much will Nick have to pay for the 150 miles? b. What is the hourly charge for loading/unloading? $58 per hour c. What is the hourly charge for packing/unpacking? (round to the hundredths place) d. East Cobb Movers is running a special! The first 30 minutes of loading/unloading is free AND the first 60 minutes of packing/unpacking is free. What is Nick’s new total? Don’t forget to include mileage and tax! Station 3a. __________ b. __________ c. __________ d. __________ e. __________ f. __________ g. __________ h. __________ i. __________ j. __________ k. __________ m. __________ “Go Green” Slogan: Station 4a. Find the linear depreciation equation for years 0 – 15. Round to the nearest whole number. b. Using your answer in part a, find the value of the car after 102 months. c. Using your answer in part a, find the approximate age of the car when the value is $15,000. d. Find the linear depreciation equation for years 0 – 7. Round to the nearest whole number. e. Find the linear depreciation equation for years 8 – 15. Round to the nearest whole number. f. Compare d & e to each other (look at the slopes!) and state the meaning of the similarities or differences. Station 5BEDROOM: a. Find the length and width of the smaller wall. b. Find the area of the smaller wall. c. Find the length and width of the larger wall. d. Find the area of the larger wall. e. Find the total area of the four walls in the room. f. How many gallons of paint will you need? What is the total cost for the 4 walls? g. Find the area of the ceiling. h. How many gallons of paint will you need? What is the total cost for the ceiling? i. Total cost for the entire bedroom (before sale): ______________ j. Total cost for the entire bedroom (after sale): ______________ LIVING ROOM: a. Find the length and width of the smaller wall. b. Find the area of the smaller wall. c. Find the length and width of the larger wall. d. Find the area of the larger wall. e. Find the total area of the four walls in the room. f. How many gallons of paint will you need? What is the total cost for the 4 walls? g. Find the area of the ceiling. h. How many gallons of paint will you need? What is the total cost for the ceiling? i. Total cost for the entire living room (before sale): ______________ j. Total cost for the entire living room (after sale): ______________ Which room is more expensive to paint? ______________________________________________
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