CHAPTER 1 Test 39 Test CHAPTER 1 In Exercises 1 and 2, use inductive reasoning to determine the next three numbers in the pattern. 1. 2, 8, 14, 20, … 26, 32, 38 2. 1, , , , 1 2 1 3 1 4 … , , 1 5 1 6 1 7 3. Pick any number, multiply the number by 5, and add 10 to the number. Divide the sum by 5. Subtract 1 from the quotient. a) What is the relationship between the number you started with and the final answer? The result is the original number plus 1. b) Arbitrarily select some different numbers and repeat the process. Record the original number and the results. The result is the original number plus 1. c) Make a conjecture about the relationship between the original number and the final answer. The result will always be the original number plus 1. d) Prove, using deductive reasoning, the conjecture made in part (c). n n n n n n n ,5 ,5 10, 5 10 5 2, 2 1 1 + + = + + − = + In Exercises 4 and 5, estimate the answers. 4. 0.51 96,000 × 50,000 5. 188,000 0.11 2,000,000 6. Estimating Area If each square represents one square unit, estimate the area of the shaded figure. 9 square units 7. Sunshine Skyway Bridge Tolls Max must drive across the Sunshine Skyway Bridge to get to and from work. The cash toll is $1.50 each way. Or Max could buy a SunPass Mini transponder for $4.99 plus 7% sales tax. The transponder is a one-time purchase and uses a credit card to pay the tolls. When using the transponder, the toll is $1.07 each way. During the month of August, Max will work 23 days. a) Determine the amount Max would spend on cash tolls during August. $69 b) Determine the purchase price for a transponder, including sales tax. $5.34 c) Assume Max purchases a transponder and uses it to pay tolls. Determine the total cost of the transponder plus the tolls during August. $54.56 d) How much money can Max save during August by purchasing a transponder to pay tolls instead of paying cash tolls? $14.44 8. Visiting Washington, DC The following graph shows the number of visitors, in thousands, from China, United Kingdom, Germany, South Korea, and France to Washington, DC, in one year. Number of Visitors to Washington, DC Country China United Kingdom Germany South Korea France Thousands of Visitors 350 250 150 200 100 0 300 50 a) Estimate the number of visitors to Washington, DC, from China. 325,000 visitors b) Estimate the number of visitors to Washington, DC, from France 100,000 visitors 9. Truck Rental A truck costs $35 a day plus 20 cents a mile to rent. If the total cost for a one-day rental is $50.40, how many miles were driven? 77 miles 10. Cans of Soda At a local store a six-pack of soda costs $2.59 and individual cans cost $0.80. What is the maximum number of cans of soda that can be purchased for $15? 32 cans 11. Cutting Wood How much time does it take Carla, a carpenter, to cut a 10-ft length of wood into four equal pieces, if each cut takes 2 min? 1 2 7 min 1 2
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