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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? 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)Responsesy=10x−50y is equal to 10 x minus 50y=50x−10y is equal to 50 x minus 10y=50x+10y is equal to 50 x plus 10y=10x+50

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To determine the equation that represents the relationship between the plumber's fee \( y \) and the number of hours worked \( x \), we need to understand the components involved:

  1. There is a fixed amount paid for the house visit — this is a constant that will affect the intercept of the equation.
  2. The variable fee is determined by the number of hours worked at a certain rate.

The standard form of a linear equation is typically \( y = mx + b \), where:

  • \( m \) is the slope (rate of payment per hour),
  • \( b \) is the y-intercept (fixed amount for the house visit).

From your responses, it seems we have these options:

  1. \( y = 10x - 50 \)
  2. \( y = 50x - 10 \)
  3. \( y = 50x + 10 \)
  4. \( y = 10x + 50 \)

To choose the correct equation, you need to identify which pairing of the slope (rate per hour) and intercept (fixed visit fee) represents the situation.

  • A positive slope would suggest that Anderson earns more as he works more hours, and the intercept would represent the fixed payment.
  • If \( -50 \) or \( -10 \) is the intercept, that suggests a negative fixed fee, which is not reasonable for this context.

Based on these interpretations, if Anderson's total fee increases with hours worked and starts from a positive intercept, the best-fit option would be \( y = 10x + 50 \).

Please try checking this answer or let me know if you have any additional context that could help clarify!