1. Black Panther and Captain America are racing down a street to the Avengers Tower to help fight a new threat. Black Panther has a 0.75 mile head start when the two start racing. (a) If Black Panther runs at a speed of 65 mph, find the equation of the line represent- ing his distance from his starting position in terms of time in slope-intercept form. (b) Graph this line. Label the axis appropriately. Make sure your graph makes sense in context (think about what the domain and range of your line would be in the context of time and distance).

Here is the graph representing Black Panther's distance over time. The red dot marks the starting point, which is 0.75 miles ahead at time \( t = 0 \). The slope of the line shows his speed, as he covers 65 miles every hour.

### Key Points:
- **X-axis**: Time (in hours).
- **Y-axis**: Distance from the starting position (in miles).
- The graph starts at \( (0, 0.75) \), indicating the 0.75-mile head start, and the distance increases at a rate of 65 miles per hour.

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### 5 Related Questions:
1. How would the equation change if Black Panther's speed was 70 mph instead?
2. What is the total distance Black Panther covers after 1.5 hours?
3. How would you calculate the time it takes for Black Panther to cover 50 miles?
4. If Captain America runs at 60 mph and has no head start, how would you compare their equations?
5. How long will it take Black Panther to reach Avengers Tower if it is 100 miles away?

### Tip:
When graphing real-world scenarios, always check if the domain and range make sense in context, as negative time or distance might not be applicable.

Black Panther and Captain America are racing down a street to the Avengers Tower to help fight a new threat. Black Panther has a 0.75 mile head start when the two start racing. (a) If Black Panther runs at a speed of 65 mph, find the equation of the line representing his distance from his starting position in terms of time in slope-intercept form. (b) Graph this line. Label the axis appropriately. Make sure your graph makes sense in context (think about what the domain and range of your line would be in the context of time and distance).

Solve and graph the linear equation for Black Panther's race, starting with a 0.75-mile head start at 65 mph. Learn how to represent his distance over time in slope-intercept form (y = mx + b) and understand the domain and range in this real-world math problem. Suitable for Grades 8-10.

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