Question
Anderson is a plumber and is paid a fixed amount just to make a house visit. The remainder of his fee, y, is determined by the number of hours that he works, x, as shown below.
Which equation represents the graph?
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(1 point)
Responses
y=50x−10
y is equal to 50 x minus 10
y=50x+10
y is equal to 50 x plus 10
y=10x−50
y is equal to 10 x minus 50
y=10x+50
y is equal to 10 x plus 50
Which equation represents the graph?
NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.
(1 point)
Responses
y=50x−10
y is equal to 50 x minus 10
y=50x+10
y is equal to 50 x plus 10
y=10x−50
y is equal to 10 x minus 50
y=10x+50
y is equal to 10 x plus 50
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the equation that represents the relationship between the total fee \(y\) and the number of hours worked \(x\), we need to understand how the fixed amount and the hourly rate contribute to \(y\).
From the problem, we know:
- Anderson is paid a fixed amount for the house visit.
- The remaining fee depends on hours worked, which suggests a linear relationship.
If we let \(b\) represent the fixed amount (the y-intercept of the line), and \(m\) represent the hourly rate (the slope of the line), the general equation can be written in slope-intercept form as:
\[ y = mx + b \]
The options you have are as follows:
1. \(y = 50x - 10\)
2. \(y = 50x + 10\)
3. \(y = 10x - 50\)
4. \(y = 10x + 50\)
Without additional information about the fixed amount or hourly rate, it's difficult to definitively choose the correct form. However, we can infer:
- If \(b\) (the fixed amount) is positive, then \(b\) should be added in the equation, suggesting the forms with \(+10\) or \(+50\) might be valid.
- If \(b\) is negative, then the forms with \(-10\) or \(-50\) should be considered.
Since none of the options give an indication of the fixed fee or hourly rate other than numbers, you may have to make an educated guess based on the context of the problem. In many plumbing services, the fixed amount would typically be less than the total hourly rate.
If we consider common sense (e.g., a visit fee like $50 with an additional $10 per hour), then the most likely candidates could be among those that add up to a reasonable total. Also, if it’s a standard that a plumber charges a fee of $10 per hour rather than $50, that might lean towards choices like \(y = 10x + 50\) or \(y = 10x - 50\).
If you have more context or specific values for the fixed fee or hourly fee, that would make it easier to pinpoint the correct equation. For now, I would recommend testing the provided options.
From the problem, we know:
- Anderson is paid a fixed amount for the house visit.
- The remaining fee depends on hours worked, which suggests a linear relationship.
If we let \(b\) represent the fixed amount (the y-intercept of the line), and \(m\) represent the hourly rate (the slope of the line), the general equation can be written in slope-intercept form as:
\[ y = mx + b \]
The options you have are as follows:
1. \(y = 50x - 10\)
2. \(y = 50x + 10\)
3. \(y = 10x - 50\)
4. \(y = 10x + 50\)
Without additional information about the fixed amount or hourly rate, it's difficult to definitively choose the correct form. However, we can infer:
- If \(b\) (the fixed amount) is positive, then \(b\) should be added in the equation, suggesting the forms with \(+10\) or \(+50\) might be valid.
- If \(b\) is negative, then the forms with \(-10\) or \(-50\) should be considered.
Since none of the options give an indication of the fixed fee or hourly rate other than numbers, you may have to make an educated guess based on the context of the problem. In many plumbing services, the fixed amount would typically be less than the total hourly rate.
If we consider common sense (e.g., a visit fee like $50 with an additional $10 per hour), then the most likely candidates could be among those that add up to a reasonable total. Also, if it’s a standard that a plumber charges a fee of $10 per hour rather than $50, that might lean towards choices like \(y = 10x + 50\) or \(y = 10x - 50\).
If you have more context or specific values for the fixed fee or hourly fee, that would make it easier to pinpoint the correct equation. For now, I would recommend testing the provided options.
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