To determine which equation models the data given on the graph, we need to analyze the equations presented:
- Equations:
- A: \(y = 0.30x\)
- B: \(y = 0.70x\)
- C: \(y = 0.30x + 200\)
- D: \(y = 0.70x + 200\)
Without seeing the actual graph, we would typically choose the equation based on whether the relationship is proportional (no constant added) or linear (constant added). If the graph shows a linear relation that starts above the origin (like a starting price) then the equations with "+200" would be appropriate (C or D). If it starts from the origin then we would look at A or B.
- Rate of Change:
- A: The price of airfare increases by $0.30 for each mile traveled.
- B: The price of airfare decreases by $0.30 for each mile traveled.
- C: The price of airfare increases by $0.70 for each mile traveled.
- D: The price of airfare decreases by $0.70 for each mile traveled.
The rate of change is represented by the coefficient of \(x\) in the equation. Again, without the graph, if the slope is positive, it indicates an increase and if it is negative, it indicates a decrease.
To summarize, without the graph, you would select:
- For the first question: Choose based on whether the line passes through the origin or not, and the values \(0.30\) or \(0.70\).
- For the second question: Choose based on the rate determined from the line's slope.
If you have specific data points or a description of the graph, I can help further refine the answers!