MAT110: Project 1

You and your friend are traveling to Washington, D.C., to visit the attractions at the National Mall.You are going to look at one attraction and your friend is going to look at a different attraction, then you will meet at the Washington Monument.

Data:

Your rate: 5km/hr

Your initial "attraction": African Art Museum

Your friend:

Your friend's rate: 4.5km/hr

Your friend's initial "attraction": American Indian Museum

Please answer the following prompts about your trip. Be sure to show your work.

1. Using a ruler and the scale provided on the map,

a. What is the distance (in km) between your attraction and the Washington Monument? 4km

b. What is the distance (in km) between your friend's attraction and the Washington Monument? 8km

2. Complete the following table for you and your friend using your rates above.

Distance traveled in km	The amount of time it will take you to travel that distance (minutes may be helpful)	The amount of time it will take your friend to travel that distance (minutes may be helpful)
1 km
2 km
3 km
4 km
5 km

3. How long will it take you to walk from your attraction to the Washington Monument?

4. How long will it take your friend to walk from their attraction to the Washington Monument?

5. Graph your walks from your attractions to the Washington Monument using two lines. The y-intercepts will be your distances from your attractions to the Washington Monument. Your rates will be the slopes for your lines.

a. How should you label your x and y axes? Explain why you would label them that way.

b. What are the equations of each line? Explain why your equations make sense. Graph your lines accurately.