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Ruby is moving from Minneapolis to Chicago, which is 400 miles away. She is traveling at an average speed of 50 miles per hour. Ruby stops for gas after a couple of hours and wonders how much further she needs to go. If y represents distance and x represents time, which linear equation would indicate the amount of miles Ruby still has to travel to Chicago?

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Answer:

y = 400 - 50x

Step-by-step explanation:

From Minneapolis to Chicago = 400 miles

Speed of travel = 50 miles per hour

y = distance ; x = time

Distance = speed * time

Distance moved before stopping for gas:

50 * x = 50x

y = distance left to cover ;

400 m = total distance

50x = distance already moved

Therefore,

y = 400 - 50x

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