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

John’s Run

A 2-column table with 4 rows. Column 1 is labeled Time (seconds) with entries 4, 6, 8, 10. Column 2 is labeled Distance (meters) with entries 35, 47.5, 60, 72.5.

____ had a head start of ____ meters.

A graph titled Emily's Run has time (seconds) on the x-axis and Distance (meters) on the y-axis. Points are at (4, 32), (6, 48), (8, 64), and (10, 80).

Respuesta :

Answer:

John and 10

Step-by-step explanation:

Based on the distances ran by John and Emily, as well as their speeds, the person with a headstart was John with a distance of 10 meters.

How did John have a headstart?

John's speed was:

= Distance in two seconds / Two seconds

= (47.5 - 35) / (6 - 4)

= 6.25 m/s

This means that the distance John started at was:

= 35 - (6.25 x 4 seconds)

= 10 meters

Emily's speed was:

= (48 - 32) / 2

= 8 m/s

She started at:

= 32 - (8 x 4)

= 0 meters

Headstart:

= Distance John started - Distance Emily started

= 10 - 0

= 10 meters

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