Math, asked by kittykatrivera9467, 7 months ago

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? had a head start of meters.'

Answers

Answered by amitnrw
14

Given : Nina and Ryan each ran at a constant speed for a 100-meter race

Each runner’s distance for the same section of the race is displayed in graph and table

To Find  : Who had a head start, and how big was the head start

Solution:

Nina Run from graph

T         D

4        32

6        48

8        64

10      80

For every 2 Secs  there is a distance of  16 m

Hence Speed = Slope = 16/2 = 8m /s

y - 32 = 8 (x - 4)

=> y = 8x

at x = 0  ( 0 time)

Distance = 0 m

Ryan  Run from table

T         D

4        35

6        47.5

8        60

12.5 m for ever 2 sec

Speed = slope = 12.5/2 = 25/4

y - 35 = (25/4)(x - 4)

=> 4y - 140  = 25x - 100

=> 4y  = 25x + 40

at x = 0

=> y = 10

Hence Ryan  had  a head start of 10 m

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Attachments:
Answered by kcuxtizo0001
15

Answer:

[:::] Ryan

[:::] 10 meters

Step-by-step explanation:

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start?

...Ryan

...10

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