7 3Lesson 9NYS COMMON CORE MATHEMATICS CURRICULUMProblem SetA company buys a digital scanner for $12,000. The value of the scanner is 12,000 (1 --) after n years. Thecompany has budgeted to replace the scanner when the trade-in value is $2.400, After how many years should thecompany plan to replace the machine in order to receive this trade-in value?1.Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 mph fort hours and at an average rateof speed of 22 mph for the rest of the time. How long did Brady ride at the slower speed? Use the variablet torepresent the time, in hours, Brady rode at 17 mph.2.Michael is 17 years older than John, In 4 vears, the sum of their ages will be 49. Find Michael's present age.3.4 Caitlan went to the store to buy school clothes. She had a store credit from a previous return in the amount of$39.58. If she bought 4 of the same style shirt in different colors and spent a total of $52.22 after the store creditwas taken off her total, what was the price of each shirt she bought? Write and solve an equation with integercoefficients.A young boy is growing at a rate of 3.5 cm per month. He is currently 90 cm tall. At that rate, in how many monthswill the boy grow to a height of 132 cm?5.6.The sum of a number, - of that number, 2 of that number, and 7 is12. Find the number.6.7.The sum of two numbers is 33 and their difference is 2. Find the numbers.*Aiden refills three token machines in an arcade. He puts twice the number of tokens in machine A as in machine B,3and in machine C, he puts - what he put in machine A. The three machines took a total of 18,324 tokens. How4.many did each machine take?Paulie ordered 250 pens and 250 pencils to sell for a theatre club fundraiser. The pens cost 11 cents more than thepencils. If Paulie's total order costs $42.50, find the cost of each pen and pencil,bmily left their house in two cars at the same time. One car traveled an average of 7 miles per hour faster thane other, When the first car arrived at the destination after 5 hours of driving, both cars had driven a total of205 miles, If the second car continues at the same average speed, how much time, to the nearest minute, will itke before the second car arrives?y counts the triangles and parallelograms in an art piece and determines that altogether, there are 42 trianelesparalelograms. If there are 150 total sides, how many triangles and parallelograms are there?is three years younger than his sister Katie. The sum12 H

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A company buys a digital scanner for $12,000. The value of the scanner is 12,000 (1-2) after n years. The company has budgeted to replace the scanner when the trade-in value is $2,400, After how many years should the alue?