Question

Part A: Consider the distance from the school to the coffee shop and the distance from the library to the coffee shop. Draw their respective line segments in the above graph. If the school is relocated in a way that it is collinear to the coffee shop and the library and distance to the coffee shop is preserved, then the point representing the school will partition the line segment from the coffee shop to the library in a
x: y ratio. What are the values of x and y? Part B: Sergio lives at the corner of 16th Street and 19th Avenue. Saskia lives at the corner of 20th Street and 3rd Avenue. Located 1/4 of the distance from Sergio’s place to Saskia’s it is the post office. Where is the post office located? Part C: Kay lives is at the corner of 5th Street and 4th Avenue. Her boyfriend works at the twin theater located at the corner of 9th Street and 20th Avenue. They have lunch every Tuesday and Thursday at a market located
3/4 of the distance from the twin theater and Kay’s house. Where is the market located?

Answer 1

Answer:

See below

Step-by-step explanation:

Refer to attached. All answers included.

• Note. Will mainly refer to y-coordinates in distance questions

Part A

• Distance from coffee shop to library: 16 -8 = 8
• Distance from coffee shop to school: 16 - 10 = 6 = x
• Distance from school to library: 10 - 8 = 2 = y
• Ratio x:y = 6: 2 = 3:1

Part B

• Distance from Sergio's home to Saskia's home: 19 -3 = 16
• Distance from Sergio's home to Post office: 16*1/4 = 4
• Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15

Part C

• Distance from Kay's home to twin theater: 20 - 4 = 16
• Distance from twin theater to market: 16*3/4 = 12
• Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8