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A car stuck in traffic travels 75 feet in one minute. In each subsequent minute, the car travels three-fourths the distance it traveled in the previous minute. How far does this car travel in 6 minutes?

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TaeKwonDoIsDead

Answer:

246.61 feet (rounded to 2 decimal places)

Step-by-step explanation:

We multiply 3/4 with previous minute traveling.

Minute #1: travels 75 feet

Minute #2: travels (3/4)*75 = 56.25 ft

Minute #3: travels (3/4)(56.25) = 42.19 ft

Minute #4: travels (3/4)(42.1875) = 31.64 ft

Minute #5: travels (3/4)(31.64) = 23.73 ft

Minute #6: travels (3/4)(23.73) = 17.80 ft

So, in 6 minutes, the car travels  75 + 56.25 + 42.19 + 31.64 +23.73 + 17.80 = 246.61 feet.

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