Question

A driver leaves home for a business trip and drives at a constant speed of 60 miles per hour for 2 hours. Her car gets a flat tire, and she spends 30 minutes changing the tire. She resumes driving and drives at 30 miles per hour for the remaining one hour until she reaches her destination. One the set of axes below, draw a graph that models the driver's distance from home. 300+, 240, 180 Distance (mies) 120, 60, 4, 2, 3 Time (hours)

Answer 1

The graph that models the driver's distance from home can be drawn with different sections representing the different speeds and durations of the journey.

Step-by-step explanation:

The graph that models the driver's distance from home can be drawn as follows:

From the starting point, the driver travels at a constant speed of 60 miles per hour for 2 hours. This means that the distance covered during this time is 60 miles per hour * 2 hours = 120 miles. The graph starts at the starting point and goes 120 miles to the right.

Then, the driver spends 30 minutes (0.5 hours) changing the tire. During this time, the car doesn't move, so the graph remains at the same point for this duration.

After changing the tire, the driver resumes driving at a speed of 30 miles per hour for 1 hour. This means that the distance covered during this time is 30 miles per hour * 1 hour = 30 miles. The graph continues 30 miles to the right.

The final graph would look like:

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2 C B Distance (miles)