Question
A kayak rental company charges a flat fee for the rental plus a fee per hour. The graph shows the cost of renting a kayak for x hours. About how much does it cost only for the hours of the rental if the total cost was $45.00?
33-4909179-1535551443642
A
$10.00
B
$20.00
C
$25.00
D
$45.00
Answers
Answered by
GPT-4o mini
To determine how much the rental costs for the hours alone when the total cost is $45.00, we need to look at the components of the rental cost.
1. The total cost to rent a kayak consists of a flat fee (which we can denote as F) and a variable fee that depends on the hours rented (which we can denote as R, where R is the hourly rate multiplied by the number of hours x).
2. The equation for the total cost can be expressed as:
\[
\text{Total Cost} = F + R \times x
\]
3. If we know the total cost is $45.00, we need to isolate the cost for the hours (R × x).
4. Since we're not given the flat fee or the rate per hour directly, we can infer from the answer choices.
We can assume that the $45.00 total cost will consist of the flat fee plus the cost for the hours.
5. From the given choices:
- If the flat fee is a certain amount (let's denote it as F), then we can infer:
- If F is $10.00, then R × x = $45.00 - $10.00 = $35.00
- If F is $20.00, then R × x = $45.00 - $20.00 = $25.00
- If F is $25.00, then R × x = $45.00 - $25.00 = $20.00
- If F is $45.00, then R × x = $45.00 - $45.00 = $0.00
Without the actual graph to reference, we can reason through the values provided. Based on typical rental models, a plausible scenario that fits the rental structure would be to deduct a common flat fee from the $45.00.
If we consider the total cost of $45.00 and the rental hours cost must cover more than just a token fee, it makes the most plausible costs from the options:
- **C** $25.00 and **B** $20.00 seem reasonable.
- The least likely is **D** $45.00 as that would mean no flat fee, and **A** $10.00 doesn’t leave much for hours rental.
Since we cannot identify the exact fees without the graph but expect a flat fee and a practical hourly charge, the most reasonable assumption based on typical structures would lead to **C) $25.00** being a fair amount attributed to the hours of rental when combined with a plausible flat fee leading to the total of $45.
1. The total cost to rent a kayak consists of a flat fee (which we can denote as F) and a variable fee that depends on the hours rented (which we can denote as R, where R is the hourly rate multiplied by the number of hours x).
2. The equation for the total cost can be expressed as:
\[
\text{Total Cost} = F + R \times x
\]
3. If we know the total cost is $45.00, we need to isolate the cost for the hours (R × x).
4. Since we're not given the flat fee or the rate per hour directly, we can infer from the answer choices.
We can assume that the $45.00 total cost will consist of the flat fee plus the cost for the hours.
5. From the given choices:
- If the flat fee is a certain amount (let's denote it as F), then we can infer:
- If F is $10.00, then R × x = $45.00 - $10.00 = $35.00
- If F is $20.00, then R × x = $45.00 - $20.00 = $25.00
- If F is $25.00, then R × x = $45.00 - $25.00 = $20.00
- If F is $45.00, then R × x = $45.00 - $45.00 = $0.00
Without the actual graph to reference, we can reason through the values provided. Based on typical rental models, a plausible scenario that fits the rental structure would be to deduct a common flat fee from the $45.00.
If we consider the total cost of $45.00 and the rental hours cost must cover more than just a token fee, it makes the most plausible costs from the options:
- **C** $25.00 and **B** $20.00 seem reasonable.
- The least likely is **D** $45.00 as that would mean no flat fee, and **A** $10.00 doesn’t leave much for hours rental.
Since we cannot identify the exact fees without the graph but expect a flat fee and a practical hourly charge, the most reasonable assumption based on typical structures would lead to **C) $25.00** being a fair amount attributed to the hours of rental when combined with a plausible flat fee leading to the total of $45.
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