Podcast
Questions and Answers
How many hours of canoe rental would result in Joe's Canoes and Callie's Canoes charging the same total amount?
How many hours of canoe rental would result in Joe's Canoes and Callie's Canoes charging the same total amount?
- 10 hours
- 5 hours
- 3.33 hours (correct)
- 1.67 hours
For what duration of canoe rental is Joe's Canoes the cheaper option?
For what duration of canoe rental is Joe's Canoes the cheaper option?
- More than 2 hours
- Less than 2 hours (correct)
- Exactly 2 hours
- Joe's Canoes is always cheaper
What is the total cost when Joe's Canoes and Callie's Canoes charge the same amount?
What is the total cost when Joe's Canoes and Callie's Canoes charge the same amount?
- $40
- $20
- $28 (correct)
- $48
If someone rents a canoe for 4 hours, how much more would Callie's Canoes charge compared to Joe's Canoes?
If someone rents a canoe for 4 hours, how much more would Callie's Canoes charge compared to Joe's Canoes?
What equation can be used to find the number of hours, $h$, for which the total cost of Joe's Canoes and Callie's Canoes is the same?
What equation can be used to find the number of hours, $h$, for which the total cost of Joe's Canoes and Callie's Canoes is the same?
Suppose Joe's Canoes increases its initial fee by $5. How does this change the number of hours for which the total amount both places charge would be the same?
Suppose Joe's Canoes increases its initial fee by $5. How does this change the number of hours for which the total amount both places charge would be the same?
If Callie's Canoes decreases its hourly rate by $2, how would this change the number of hours for which the total amount both places charge would be the same?
If Callie's Canoes decreases its hourly rate by $2, how would this change the number of hours for which the total amount both places charge would be the same?
For what number of hours will the difference in cost between Joe's Canoes and Callie's Canoes be $30?
For what number of hours will the difference in cost between Joe's Canoes and Callie's Canoes be $30?
If Joe's Canoes reduces its initial fee to $10 and Callie's Canoes increases its hourly rate to $16, how many hours of rental would make their total charges equal?
If Joe's Canoes reduces its initial fee to $10 and Callie's Canoes increases its hourly rate to $16, how many hours of rental would make their total charges equal?
Suppose both canoe rental services offer a 10% discount. How would this affect the breakeven point (number of hours for which the cost is the same) between Joe's Canoes and Callie's Canoes?
Suppose both canoe rental services offer a 10% discount. How would this affect the breakeven point (number of hours for which the cost is the same) between Joe's Canoes and Callie's Canoes?
Flashcards
What are we solving for?
What are we solving for?
The number of hours for which the total cost is the same at both canoe rental places.
Joe's Canoes cost function
Joe's Canoes cost function
Cost = $20 + $4 per hour
Callie's Canoes cost function
Callie's Canoes cost function
Cost = $14 per hour
Equation to find equal cost
Equation to find equal cost
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Solution for h
Solution for h
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Interpretation of h = 2
Interpretation of h = 2
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Study Notes
- Joe's Canoes charges a $20 initial fee
- Joe's Canoes charges $4 per hour
- Callie's Canoes charges $14 per hour
- The problem is to find at how many hours do both charge the same amount
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