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Linear Equations and Systems, Exponential Functi ...

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    Linear Equations and Systems, Exponential Functions (Growth and Decay)
  •   Study   Slideshow
  • 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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  • 1b: A content creator starts with 300 followers and gains three times as many followers each week. Write an equation that models the number of followers, F, after w weeks.
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  • 1c: In a game, a character’s power points increases 5 times each level. Write an equation that models the number of power points, P, at level n.
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  • 2a: The cost of an ice cream order is given by: C = 2 + 0.75(s - 1) + 1.50t. What is the price of 3 scoops with 2 toppings?
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  • 2b: The cost of an ice cream order is given by: C = 2 + 0.75(s - 1) + 1.50t. If Erica spent $7.50 and bought 1 topping, how many scoops did she order?
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  • 3a: The cost of a sundae is: C = 1.50 + 0.60(s - 1) + 1.00t. Find the total cost for 5 scoops with 3 toppings.
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  • 3b: The cost of a sundae is: C = 1.50 + 0.60(s - 1) + 1.00t. If the total cost is $6.50 and there are 2 toppings, how many scoops are in the order?
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  • 4a: The price of frozen yogurt is C = 2.50 + 0.40(s - 2) + 1.00t. What is the value of C when s = 4 and t = 1? Explain your answer in the context of the situation.
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  • 4b: The price of frozen yogurt is C = 2.50 + 0.40(s - 2) + 1.00t. If C = 5.70 and t = 2, what is the value of s? Explain your answer in the context of the situation.
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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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  • 6b: A student starts with $10 and spends $2 each week. Which function type best represents the relationship between weeks, x, and the amount of money remaining, y?
    Linear Decrease!
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  • 6c: A streaming service gains 1,200 new subscribers each month. Which function type best represents the relationship between months, x, and the total number of subscribers, y?
    Linear Increase!
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  • 6d: A car loses 15% of its value each year. Which function type best represents the relationship between years, x, and the car’s value, y?
    Exponential Decay!
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  • 6e: A freezer maintains a steady temperature of -5°F over time. Which function type best represents the relationships between time, x, and the temperature, y?
    Constant
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  • 7a: During a school bake sale, Maria sold muffins and brownies. She sold a total of 30 items for $55. A muffin sold for $2.00, and a brownie sold for $1.50. What is the solution to the system of equations and what does it mean?
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  • 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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