Functions Name: Sequences Keystone Homework Read each problem. Circle the letter of the best answer. 1) Look at the pattern below. 8, 17, 26, 35, 44, … Which expression represents this pattern algebraically? A. n + 9 B. n – 9 C. 9n + 1 D. 9n – 1 2) In a chemistry experiment, the temperature of a gas, in degrees Celsius, followed this pattern. TEMPERATURE OF GAS Number of Seconds After Reaction (t) Temperature of Gas (°C) 0 300 1 285 2 270 3 255 Which of these expressions describes the pattern? A. 300 – 15t B. 300 + 15t C. 300t – 15 D. 300t + 15 3) The expression 12x + 6 can be used to describe a sequence algebraically. Which of the following could be the first five numbers in this sequence? A. 6, 12, 18, 24, 30 B. 6, 18, 24, 36, 42 C. 18, 30, 42, 54, 66 D. 18, 36, 54, 72, 90 4) The Fisher family sells quilts over the Internet. The graph below shows the relationship between the number of quilts they sell and the amount of money they receive. Money Received (dollars) QUILT BUSINESS y 500 400 300 200 100 0 1 2 3 4 5 x Number of Quilts Sold Which of these equations shows the same information as the graph, where N is the number of quilts sold and M is the amount of money, in dollars? A. M = 90 • N B. M = 90 + N C. M = 90 – N D. M = 90 ÷ N 5) The data below shows a Chihuahua puppy’s weight, in ounces, on the day it was born and on the next five days. 3.75, 4.25, 4.75, 5.25, 5.75, 6.25 Which graph shows this data? y Weight (ounces) A. PUPPY’S GROWTH 8 7 6 5 4 3 2 1 1 2 3 4 5 x Day 0 Weight (ounces) B. y 8 7 6 5 4 3 2 1 1 2 3 4 5 x Day 0 C. Weight (ounces) y PUPPY’S GROWTH 8 7 6 5 4 3 2 1 1 2 3 4 5 x Day 0 D. Weight (ounces) y PUPPY’S GROWTH 8 7 6 5 4 3 2 1 PUPPY’S GROWTH 1 2 3 4 5 x Day 0 6) Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a 1-pound package for $3.20. A 10-pound package cost $5 to ship. The cost follows a pattern based on the weight. Which expression could be used to find the shipping cost for a package of p pounds? A. 0.2p + 3 B. 2p + 3 C. 0.3p + 2 D. 3p + 2 7) The table shows how the amount remaining to pay on an automobile loan is changing over time. AUTO LOAN PAYOFF Time (months) Amount Remaining (dollars) 0 5,000 1 4,800 2 4,600 3 4,400 4 4,200 Let x represent the time in months, and let y represent the amount in dollars remaining to pay. Which equation describes the relationship between x and y? A. y = -800x + 5,000 B. y = -200x + 5,000 C. y = 200x – 5,000 D. y = 800x – 5,000