Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below. Who had a head start, and how many miles was the head start? Rita had a 28-mile head start. Roger had a 26-mile head start. Roger had a 25-mile head start. Rita had a 22-mile head start.

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corgicorgi93 corgicorgi93 · Answer 1 · 2020-09-14T03:59:52+02:00

Answer:

A).Rita had a 28-mile head start.

Step-by-step explanation:

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fichoh fichoh · Answer 2 · 2021-09-18T04:55:42+02:00

Based on the calculation made, Rita has a head start, has she began her race 28 Mile ahead of the starting point.

Roger's trip information :

Since they moved at a constant speed, then there speed is the same through out the journey.

Speed is given by the slope :

(y2 - y1) / (x2 - x1) = (130 - 65) / (2 - 1) = 65 / 1 = 65 mph

Roger's starting position, when t = 0

t = 1 ; distance = 65 miles

t = 0 ; 65 - speed per hour = 65

At t = 0 ; 65 - 65 = 0 miles

Hence, Roger does not have a head start.

For Rita :

Speed or rate = slope of the graph :

(y2 - y1) / (x2 - x1) = (158 - 93) / (2 - 1) = 65 / 1 = 65 mph

Rita's starting position, when t = 0

t = 1 ; distance = 93 miles

t = 0 ; 93 - speed per hour

At t = 0 ; 93 - 65 = 28 miles

Hence, Rita has a head start of 28 miles.

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