Podcast
Questions and Answers
What is the cost to rent the swimming pool for 2 hours?
What is the cost to rent the swimming pool for 2 hours?
What is the domain of the function that describes the rental of the swimming pool?
What is the domain of the function that describes the rental of the swimming pool?
What is the range of the function that represents the cost to rent the swimming pool?
What is the range of the function that represents the cost to rent the swimming pool?
What does the horizontal axis represent in the linear function for the athlete's run?
What does the horizontal axis represent in the linear function for the athlete's run?
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What is the maximum distance the athlete could have run in the given time period?
What is the maximum distance the athlete could have run in the given time period?
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If the swimming pool is rented for max duration, what is the total cost incurred?
If the swimming pool is rented for max duration, what is the total cost incurred?
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Which of the following statements accurately describes the domain of the athlete's run function?
Which of the following statements accurately describes the domain of the athlete's run function?
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Study Notes
Swimming Pool Rental
- Pool rental cost: $110 per hour
- Rental options: 1 hour or 2 hours
- Cost is a function of rental time
Athlete's Run
- Athlete ran at a constant speed for 12 seconds
- Distance ran (yards) is a function of time (seconds)
- Graph shows a linear relationship between time and distance
- Distance increases linearly with time
Concert Ticket Costs
- Total cost (y) for x tickets to a concert includes a flat fee and a cost per ticket
- One customer bought 4 tickets for $160
- Another customer bought 8 tickets for $300
- Find the linear equation for the total cost
- Find the y-intercept
Equation Solutions
- Equation 1: Find the value of m that satisfies the given equation (m - 9) = (m - 27).
- Equation 2: Solve for w in the equation 7w - 2(w - 9) = 4 - 8(w + 2).
- Final answer for w
Hot Dogs and Popcorn
- Two families purchased hot dogs and popcorn.
- Determine the cost of hot dogs(x) and popcorn (y) per item using their purchase data.
- Provide the system of equations.
Inequality Solution
- Inequality: y ≥ x - 2
- Find the solution set and graph it in a coordinate plane
Coffee and Doughnuts
- Two customers bought coffee and doughnuts
- Determine the cost of 1 cup of coffee
- First customer paid $4.90 for 1 cup of coffee and 2 doughnuts
- Second customer paid $8.60 for 2 cups of coffee and 3 doughnuts
System of Equations
- Equation 1: 6x - 2y = 10
- Equation 2: y = 3x - 5
- Find the true statement about the system
- Determine if the system has one solution, no solution or infinite solutions
Function Equivalence
- Given f(x) = 6x² – 23x + 21
- Find an equivalent form of the function
- Find the factors of x² + 7x – 30
Algebraic Expressions
- Simplify (6x²y)²(2x³y⁴)
- Simplify 16k²m² / 4k³m¹⁴
- Evaluate f(4), given f(x) = 3x² – 7
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Description
This quiz covers various applications of linear functions and equations, including cost calculations, distance-time relationships, and solving equations. Students will explore concepts ranging from rental costs to mathematical solutions in real-world scenarios, thereby enhancing their understanding of linear relationships. Prepare to apply your math skills to solve these practical problems!
