To determine the equation of the line through the origin that represents the amount earned for babysitting, we need to find the slope of the line based on the given choices and the relationship between hours worked (x) and money earned (y). Since I cannot see the image, I will explain how you can derive the equation based on the data you see on the graph.
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Identify points on the graph: Look for two clear points on the line. For example, if you see points like (1, 11) and (2, 22), these points correspond to hours worked (x) and dollars earned (y).
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Calculate the slope (m): The slope is calculated by using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Using the example points (1, 11) and (2, 22): \[ m = \frac{22 - 11}{2 - 1} = \frac{11}{1} = 11 \]
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Form the equation: With the slope, the equation of the line in slope-intercept form (y = mx) becomes: \[ y = 11x \]
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Choose the corresponding answer: If the calculated slope is 11, the answer is: A. y = $11x.
If you have specific points or values from the graph that you can share, I would be able to verify or fix my calculations based on that information.