Questions: After completing his trip Marcos recorded that he had traveled for 2 hours and 17 minutes on Interstate 17 (without stopping) for a distance of 155 miles. a. Marcos did not travel at a constant speed on this drive. Which graph could represent how Marcos' distance traveled (in miles) and the number of hours since he left Phoenix change together? Blue b. Determine Marcos' average speed for the 155 -mile trip. miles per hour

After completing his trip Marcos recorded that he had traveled for 2 hours and 17 minutes on Interstate 17 (without stopping) for a distance of 155 miles. a. Marcos did not travel at a constant speed on this drive. Which graph could represent how Marcos' distance traveled (in miles) and the number of hours since he left Phoenix change together? Blue b. Determine Marcos' average speed for the 155 -mile trip. miles per hour
Transcript text: After completing his trip Marcos recorded that he had traveled for 2 hours and 17 minutes on Interstate 17 (without stopping) for a distance of 155 miles. a. Marcos did not travel at a constant speed on this drive. Which graph could represent how Marcos' distance traveled (in miles) and the number of hours since he left Phoenix change together? Blue b. Determine Marcos' average speed for the 155 -mile trip. $\square$ miles per hour
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Solution

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Solution Steps

Step 1: Identify the correct graph
  • Marcos did not travel at a constant speed, so the graph representing his distance traveled should show variations in speed.
  • The blue graph shows variations in the slope, indicating changes in speed, while the red graph shows a constant slope.
  • Therefore, the blue graph represents Marcos' distance traveled.
Step 2: Convert travel time to hours
  • Marcos traveled for 2 hours and 17 minutes.
  • Convert 17 minutes to hours: \( \frac{17}{60} \approx 0.283 \) hours.
  • Total travel time in hours: \( 2 + 0.283 = 2.283 \) hours.
Step 3: Calculate average speed
  • Average speed is calculated by dividing the total distance by the total time.
  • Total distance: 155 miles.
  • Total time: 2.283 hours.
  • Average speed: \( \frac{155 \text{ miles}}{2.283 \text{ hours}} \approx 67.88 \text{ miles per hour} \).

Final Answer

  • The blue graph represents Marcos' distance traveled.
  • Marcos' average speed for the 155-mile trip is approximately 67.88 miles per hour.
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