To derive the equation of the line through the origin that represents the relationship between money earned (y) and hours spent babysitting (x), you can use the general form of a linear equation \( y = mx \), where \( m \) is the slope of the line.
To determine the slope (m), you need to identify the rate of earnings per hour from the graph data.
Since I cannot see the graph, you would typically find this by examining the y-values corresponding to the x-values (hours) shown on the graph. For instance, if the graph shows that for every hour (1 unit of x), the amount earned (y) is constant, you can calculate the slope as:
\[ m = \frac{\text{change in earnings}}{\text{change in hours}} \]
When you determine the slope, you can choose the correct equation option:
- A. \( y = 11x \)
- B. \( y = 5.50x \)
- C. \( y = 22x \)
- D. \( y = 16.50x \)
Without the specific information from the graph, you will need to look at the graph and see which of these options corresponds to the slope you calculated. For instance, if the rate of pay was determined to be $11 per hour, then the correct answer would be A.
Please check the graph data to find the rate of earnings and then select from the provided options accordingly!