Linear Equations and Systems, Exponential Functions Review | Baamboozle - Baamboozle

12c: Tickets cost $40for adults and $20 for children. A group has a budget of $400. True or false: If 10 adults go, 0 children can attend.

True!

12c: Tickets cost $40for adults and $20 for children. A group has a budget of $400. True or false: If 5 adults go, 15 children can attend.

False!

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.

False!

12a: Tickets cost $15 for adults and $8 for children. A group has a budget of $120. True or false: If 0 adults go, 15 children can attend.

True!

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

11b: What is an appropriate domain and range for this scenario? A library is open 8 hours a day and can hold up to 80 visitors at a time. Let x = hours and y = number of visitors.

Domain: all real numbers from 0 to 8, Range: all whole numbers from 0 to 80

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

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

10a: A baker starts with 8 muffins in the morning. She bakes 25% more muffins every hour. The total muffins after t hours is: M(t) = 8(1.25)^t. What does a = 8 and b = 1.25 mean in the context?

8 represents the starting # of muffins, 1.25 is the growth factor; the number of muffins is multiplying by 1.25 each hour.

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

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

8b: How tall is the sunflower after 3 weeks?

17.28 cm

8a: The height of a sunflower, in centimeters, after being planted is modeled by: H(t) = 10(1.2)^t. Explain what a = 10 and b = 1.2 represent in this context.

10 represents the starting height of the sunflower (10 cm). 1.2 represents the growth factor; the height of the flower is increasing by a factor of 1.2/week

7e: Kevin sold boxes of chocolate and jumbo cookies. He sold 70 items for $150. A box of chocolate sold for $1.50 each and jumbo cookies for $2.50 each. What is the solution to the system of equations and what does i

7d: At a farmer’s 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?

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?

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?

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

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!

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!

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!

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!

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.

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.

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?

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.

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?

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?

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.

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.

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.