The equation above can be used to calculate the distance d, in miles, traveled by a car moving at a speed of 55 miles per hour over a period of t hours. For any positive constant k, the distance the car would have traveled after hours is how many times the distance the car would have traveled after
hours?
-
A
-
B
-
C
-
D
Correct answer: A
Explanation
Choice A is correct. Since the distance is equal to the amount of time multiplied by a constant, the given equation represents a proportional relationship between distance and time in this situation. Since
, the time when
hours is 3 times the time when
hours. Therefore, the distance traveled after
hours is 3 times the distance after
hours.
Choices B and D are incorrect and may result from interpreting the proportional relationship between time and distance as additive rather than multiplicative. Choice C is incorrect and may result from an arithmetic error.
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