To determine the equation of the line through the origin that represents the amount of money earned for hours spent babysitting, we need to identify the slope of the line, which corresponds to the rate of earnings per hour.
Assuming the graph shows a straight line and the coordinates are as follows:
- If at 1 hour, the earnings are $11, then the slope would be $11 per hour.
- Additionally, if the line corresponds to other points (for instance, 2 hours yielding $22 would support the $11 slope, and so on).
Given the options:
A. \( y = 11x \)
B. \( y = 5.50x \)
C. \( y = 22x \)
D. \( y = 16.50x \)
Assuming you want to confirm the line that passes through the origin with the information provided, the correct equation would be:
A. \( y = 11x \) if the rate is $11 per hour.
This answer assumes that the earnings are linear and consistent based on the first point provided. To confirm, please refer to the actual values displayed on the graph you mentioned.