To answer the questions based on the graph you mentioned, I would need to see the details of the graph itself, such as the axes, the slope, and any specific points plotted on it.
However, I can give you a general approach to solving the problem.
Part A: Writing the Equation
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Identify Points: Note two points on the graph, which we can denote as (x₁, y₁) and (x₂, y₂).
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Calculate the Slope (m): The slope can be calculated using the formula: \[ m = \frac{y₂ - y₁}{x₂ - x₁} \]
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Find the y-intercept (b): To find the y-intercept, you can plug one of the points and the slope into the equation \( y = mx + b \) and solve for \( b \).
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Write the Equation: Once you have the slope (m) and the y-intercept (b), the equation will be in the form: \[ y = mx + b \]
Part B: Predicting Earnings
Once you have the equation, you can find Amanda's earnings for watching her cousin for any number of hours by substituting the value for \( x \) into the equation.
For example, if the equation you derive is \( y = mx + b \), then to predict how much Amanda will make after watching them for 7 hours:
- Substitute \( x = 7 \) into the equation. \[ y = m(7) + b \]
- Solve for \( y \) to find her earnings after 7 hours.
Once you provide more specific details or a summary of the graph, I can assist you in determining the exact values for Part A and Part B.