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7A10 Mr. Patel filled a swimming pool with water. When he started, the pool already contained 1,500 gallons of water. The table below shows the number of gallons of water in the pool after filling it for h hours. FILLING THE POOL Gallons of Water in Pool (g) Number of Hours (h) 1,500 0 1 2 3 4 2,100 2,700 3,300 3,900 Which equation can be used to determine the number of gallons, g, of water in the pool after h hours? F g = 600h G g = 1,500h H g = 1,500 + 600h J g = 1,500h + 600 The table below shows a relationship between x and y. x y 2 6 5 9 6 10 9 13 Which equation shows the relationship between x and y? A B C D y = 3x x = 3y y=x+4 x=y+4 Complete the function table below with the missing values for y. x 1 y 3 2 3 7 11 4 5 15 6 Based on the function table, write a function rule that shows the relationship between x and y. Answer _______________________________________ Carlotta conducted an experiment on the growth rate of bacteria. The table below shows her results. GROWTH RATE OF BACTERIA Number of Hours (h) Number of Bacteria (b) 0 1 2 3 20 56 92 128 Write a function rule for the number of bacteria, b, after h hours. Answer _____________________________ What will the number of bacteria be after 5 hours? Show your work. Answer_____________ bacteria The function table below follows a function rule. x 0.5 1 2 4 5 10 y 2 1 0.5 0.25 Part A Complete the table by filling in the missing numbers. Part B Based on the table, write a function rule that represents the relationship between x and y. Rule __________________________________ Luisa works in her grandfather’s jewelry shop. She deposits her earnings in a savings account. Her savings account balances for five of the last six weeks are shown in the function table below. LUISA’S SAVINGS ACCOUNT Week Savings Balance (w) (b) 1 $510 2 $620 3 $730 4 $840 5 ? 6 $1,060 Part A According to the data in the function table, write a function rule that shows how much money Luisa saves each week. Rule ___________________________________________ Part B Based on the table, how much money is in Luisa’s savings account in week 5? Answer $______________________ The table below shows a relationship between x and y. x 2 4 6 8 10 Y 8 10 12 14 16 What equation represents the relationship between x and y? A B C D y = 2x y = 4x y=x+6 y = 2x + 2 The table below shows the number of chaperones, y, needed for a certain number of students, x, at a school dance. SCHOOL DANCE Number of 32 48 64 Students (x) Number of 3 6 8 Chaperones (y) 96 12 Write an equation that represents the relationship between the number of chaperones needed and the number of students attending a dance. Equation ________________________________ How many chaperones will be needed for a dance that has 240 students? Answer __________________chaperones The table below shows Jeffrey’s bank account balance for the past six weeks. JEFFREY’S BANK ACCOUNT Week Balance (w) (b) 1 $10 2 $24 3 $38 4 $52 5 $66 6 $80 Part A Using information from the table, write an equation that represents the balance, b, in Jeffrey’s bank account as a function of the number of weeks, w. Answer___________________________ Part B Use your equation or the information in the table to find what Jeffrey’s bank account balance will be in Week 8. Answer $_____________________