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Use the image to answer the question.

A line graph with x-axis ranging from 0 to 6 in unit increment and y-axis ranging from 0 to 60 in increments of 10.

Luis rents a paddleboat to use at West Park for the day. He has to pay a deposit and an hourly fee. Using information from the graph, enter the values that complete the equation for this situation.

(1 point)
y=
x+
Remaining Attempts : 3
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1 answer

To complete the equation based on the information from the line graph, we typically would look for two key pieces of information: the slope (which represents the hourly fee) and the y-intercept (which represents the deposit).

  1. Identifying the slope: The slope of the line (rise over run) can be calculated by choosing two points on the line. Based on the y-axis (0 to 60), if the graph shows an increase with hourly increments, you can find how much y (cost) increases for each increment of x (time in hours).

  2. Identifying the y-intercept: The point where the line crosses the y-axis (at x = 0) represents the initial deposit that Luis has to pay before using the paddleboat.

Without the image or specific points from the graph, I can't provide the exact numerical values. However, a general form of the equation would be:

\[ y = mx + b \]

Where:

  • \( m \) is the hourly fee,
  • \( b \) is the deposit amount.

If you can describe or provide specific points from the graph (like the coordinates where the line crosses certain values), I can help you determine the exact values for \( m \) and \( b \).