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10-1 Notes Name_________________________ Hour________ Write an equation for a function that gives the values in each table. Use the equation to find the value of y for the indicated value of x. 1) x y 0 4 1 5 5 9 8 12 10 2) x y 8 15 10 17 11 18 15 22 19 3) x y 6 12 9 18 10 20 15 30 19 4) x y 5 11 7 15 8 17 11 23 16 5) x y 2 5 5 14 6 17 9 26 15 6) x y 4 24 7 39 9 49 12 64 18 7) x y 3 9 5 15 8 24 10 30 15 8) x y 4 1 5 3 8 9 9 11 16 1) ) 1) ) 1) ) 9) x y Write an equation for the function. Tell what each variable you use represents. 1) Amanda is 7 years younger than her cousin. 2) The population of North Carolina is twice as large as the population of South Carolina. 3) An Internet book company charges $7 for each paperback book, plus $2.75 for shipping and handling per order. 4) Henry records how many days he rides his bike and how far he rides each week. He rides the same distance each time. He rode 18 miles in 3 days, 24 miles in 4 days, and 42 miles in 7 days. Write an equation for the function. 5) Todd is 6 inches taller than Scott. 6) Alana is 4 times as old as Tracey. 7) Tim earns $9 for every hour he works. 8) On average, Tamara jogs 10 miles per hour. Write an equation to show how far Tamara runs in h hours. 9) An extra-large pizza costs $7 more than a personal-size pizza. Answer Key Write an equation for a function that gives the values in each table. Use the equation to find the value of y for the indicated value of x. 1) x y 0 4 1 5 5 9 8 12 10 14 y=x+4 2) x y 8 15 10 17 11 18 15 22 19 26 y=x+7 3) x y 6 12 9 18 10 20 15 30 19 38 y = 2x 4) x y 5 11 7 15 8 17 11 23 16 33 y = 2x + 1 5) x y 2 5 5 14 6 17 9 26 15 44 y = 3x - 1 6) x y 4 24 7 39 9 49 12 64 18 94 y = 5x + 4 7) x y 3 9 5 15 8 24 10 30 15 45 y = 3x 8) x y 4 1 5 3 8 9 9 11 16 25 y = 2x - 7 1) ) 1) ) 1) ) 9) x y Write an equation for the function. Tell what each variable you use represents. 1) Amanda is 7 years younger than her cousin. a = Amanda’s age; c = her cousin’s age a=c-7 2) The population of North Carolina is twice as large as the population of South Carolina. n = population of North Carolina; s = population of South Carolina n = 2s 3) An Internet book company charges $7 for each paperback book, plus $2.75 for shipping and handling per order. t = total price of order; b = number of books purchased t = 7b + 2.75 4) Henry records how many days he rides his bike and how far he rides each week. He rides the same distance each time. He rode 18 miles in 3 days, 24 miles in 4 days, and 42 miles in 7 days. Write an equation for the function. m = miles; d = days m = 6d 5) Todd is 6 inches taller than Scott. t = Todd’s height; s = Scott’s height t=s+6 6) Alana is 4 times as old as Tracey. a = Alana’s age; t = Tracey’s age a = 4t 7) Tim earns $9 for every hour he works. h = number of hours Tim worked; m = money earned m = 9h 8) On average, Tamara jogs 10 miles per hour. Write an equation to show how far Tamara runs in h hours. d = distance run; h = hours run d = 10h 9) An extra-large pizza costs $7 more than a personal-size pizza. x = price of an extra-large pizza; p = price of personal-size pizza x=p+7