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Mr. and Mrs. Miller both get in their cars and begin to drive at the same time. Mr. Miller is 280 mi from their house and drives directly home at a constant rate of 40 mph. Mrs. Miller is at their house and drives away from the house at a constant rate of 30 mph. Let d represent distance from home, and let t represent time in hours. Which system models this situation? A. d = 280 + 40t d = 30t. B. d = 280 − 30t d = 40t. C. d = 280 − 40t d = 30t. D. d = 280 − 40t d = 280 + 30t

Verified Answer :

meerkat18

Given:
Mr. Miller = 280 miles from the house ; rate of 40 mph
Mrs. Miller = rate of 40 mph ; find the distance.

Speed = distance / time

time = distance / speed
time = 280 mi / 40 mph = 280 miles 1h/40mi = 280 h/40 = 7 hours

distance = speed time
distance = 30 mph * 7 hours = 210 miles

Correct answer would be: 
A) d = 280 + 40t   for Mr. Miller
     d = 30t for Mrs. Miller


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