SOLUTION: Joseph is driving at a constant speed. after 1.5 hours he has driven a total distance of 75 miles. a) how far will Joseph drive in 4 hours at this rate? b) If D represents

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Question 1010795: Joseph is driving at a constant speed. after 1.5 hours he has driven a total distance of 75 miles.
a) how far will Joseph drive in 4 hours at this rate?
b) If D represents the distance Joseph has driven and t represents the time he has been driving write and equation for D in terms of t.
c)Joseph needs to drive 175 miles to visit his grandma for Christmas. how many hours will it take him?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Joseph is driving at a constant speed. after 1.5 hours he has driven a total distance of 75 miles.
rate = dist/time = 75/1.5 = 50 mph
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a) how far will Joseph drive in 4 hours at this rate?
distance = rate*time = 50*4 = 200 miles
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b) If D represents the distance Joseph has driven and t represents the time he has been driving write an equation for D in terms of t.
D = t*r
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c)Joseph needs to drive 175 miles to visit his grandma for Christmas. how many hours will it take him?
time = distance/rate = 175/50 = 7/2 = 3.5 hours
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Cheers,
Stan H.
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