To answer your questions accurately, I will make assumptions based on typical graph and data context regarding airfare. However, I don't have access to the actual graph you're referring to, so the responses will rely on common interpretations of linear data regarding pricing.
Question 1
To determine which equation models the data accurately, we'd ideally look at the slope (rate of change) and the y-intercept (initial value) depicted on the graph.
- Option A: \( y = 0.30x \) suggests a slope of 0.30 with no y-intercept. This means an initial price of $0.
- Option B: \( y = 0.70x \) also suggests a slope of 0.70 with no y-intercept.
- Option C: \( y = 0.30x + 200 \) indicates a slope of 0.30 and an initial price of $200.
- Option D: \( y = 0.70x + 200 \) indicates a slope of 0.70 and an initial price of $200.
If the graph shows a y-intercept of 200 and a slope of either 0.30 or 0.70, you would choose either option C or D, respectively. Without seeing the actual graph, I can't definitively choose one.
Question 2
The rate of change represents how the price of airfare changes with respect to the distance traveled.
- A) states that the price increases by $0.30 per mile.
- B) states that the price decreases by $0.30 per mile.
- C) states that the price increases by $0.70 per mile.
- D) states that the price decreases by $0.70 per mile.
Depending on the slope noted in Question 1:
- If the slope is 0.30, then A would be appropriate.
- If the slope is 0.70, then C would be appropriate.
Once again, to select the precise responses, the graph is essential to confirm the slope (rate of change) and whether it reflects an increase or decrease in airfare per mile.
If you have more specific insights or data points from the graph, please share them for more accurate responses.
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