1a: A science experiment starts with 120 bacteria. The number of bacteria doubles every hour. Write an equation that models the number of bacteria, B, after h hours.
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6b: A student starts with $10 and spends $2 each week. Which function type best represents theย relationship between weeks, x, and the amount of money remaining, y?
Linear Decrease!
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6e: A freezer maintains a steady temperature of -5ยฐF over time. Which function type best represents the relationships between time, x, and the temperature, y?
Constant
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11c: What is an appropriate domain and range for this scenario? A bus runs for up to 10 hours and can carry at most 50 passengers at one time. Let x = hours and y = number of passengers.
Domain: all real numbers from 0 to 10, Range: all whole numbers from 0 to 80
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9a: A student starts a reading challenge with 5 books and decides to read 50% more each week. The number of books read after t weeks is B(t) = 5(1.5)^t. Explain what a = 5 and b = 1.5 represent in this context.
5 represents the # of books the student read before the challenge, 1.5 represents the growth factor; # of books is increasing by a factor of 1.5 each week
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boom
Lose 50 points!
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seesaw
Swap points!
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gift
Win 15 points!
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lifesaver
Give 5 points!
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11a: What is an appropriate domain and range for this scenario? A movie theater is open for up to 12 hours a day and can hold at most 200 people. Let x = hours and y = number of people.
Domain: all real numbers from 0 to 12, Range: all whole numbers from 0 to 200
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baam
Lose 15 points!
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seesaw
Swap points!
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fairy
Take points!
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banana
Go to last place!
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10b: How many muffins will there be after 4 hours? You can round up or down the nearest whole number.
About 19 to 20 muffins
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9b: How many books will the student have read after 2 weeks? You can round up or down the nearest whole number.
About 11 to 12 books
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25
7b: At a community fair, Jamal sold cups of lemonade and fruit pops. He sold 40 items for a total of $72. A lemonade costs $1.50, and a fruit pop costs $0.75. What is the solution to the system of equations and what does it mean?
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25
7d: At a farmerโs market, a vendor sold bags of apples and bags of oranges. He sold a total of 60 bags for $180. Apples cost $3 each, oranges cost $2 each. What is the solution to the system of equations and what does it mean?
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6a: A bacteria culture starts with 500 bacteria and doubles every 3 hours. Which function type best represents the relationship between time (hours), x, and the number of bacteria, y?
Exponential Growth!
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12a: Tickets cost $15 for adults and $8 for children. A group has a budget of $120. True or false: If 4 adults go, 10 children can attend.