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Revisiting the questions from earlier.

distance (miles)

1. Which graph goes with each rider? if Kiran rides 4 miles in 16 minutes, then the point (4, 16) is on his graph. If he rides for 1 mile, it will take 4 minutes. 10 miles will take 40 minutes. So the upper graph represents Kiran's ride. Mai's points for the same distances are (1,3), (4, 12), and (10.30), so hers is the lower graph. (A letter next to each line would help us remember which is which!)

2. Who rides faster? Mai rides faster because she can ride the same distance as Kiran in

a shorter time. 3. If Kiran and Mai start a bike trip at the same time, how far are they after 20 minutes?

The points on the graphs at height 20 are 5 miles for Kiran and a little less than 7

miles for Mai

4. How long will it take each of them to reach the end of the 12 mile bike path? The points on the graphs at a horizontal distance of 12 are 36 minutes for Mai and 48 minutes for Kiran. (Kiran's time after 12 miles is almost off the grid!)

Glossary

constant of proportionality


Help!!!! I will be grateful for your help ​

Revisiting The Questions From Earlierdistance Miles1 Which Graph Goes With Each Rider If Kiran Rides 4 Miles In 16 Minutes Then The Point 4 16 Is On His Graph I class=

Sagot :

akposevictor

Given the proportional graphs represnting the ride of Kiran and Mai, thus:

  1. The upper graph goes with Kiran, the lower graph goes with Mai.
  2. Mai rides faster.
  3. After 20 minutes, Kiran would be 5 miles far while Mai will be almost 7 miles far.
  4. To reach the end of 12 mile bike path, it will take Kiran 48 minutes while it will take Mai 36 minutes

Recall:

A proportional graph has a line that passes through the origin (0, 0), and also has a constant of proportionality, k.

Constant of proportionality, k = y/x.

1. Given that Kiran rides for 4 miles in 16 minutes, therefore the upper graph that passes through point (4, 16) goes with Kiran.

Given that Mai's points include (1, 3), (4, 12), and (10, 30), these points are on the lower graph, therefore, the lower graph goes with Mai.

2. The graph with the smallest constant of proportionality value represents the graph that goes with the fastest rider. The constant of proportionality in this case represents how many minutes spent on covering 1 mile. The shorter the minutes, the faster.

  • Constant of proportionality for Kiran's ride using a point (4, 16):

k = y/x = 16/4 = 4 mins per mile

  • Constant of proportionality for Mai's ride using a point (1, 3):

k = y/x = 3/1 = 3 mins per mile

  • Therefore, the fastest rider is Mai.

3. At 20 minutes, using the graph given, Kiran will be at 5 miles far.

At 20 minutes, Mai will be at almost 7 miles.

4. At the end of 12 mile path, the graph shows that Kiran will have used 48 minutes (12, 48), while Mai would have used 36 minutes (12, 36).

Learn more about proportional graph on:

https://brainly.com/question/3107937

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