Question the-eq
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?
3
6
The equation above can be used to calculate the distance d , in miles, traveled by
Hard-difficulty · SAT Math · Ratios, Rates, and Proportional Relationships — Direct/inverse proportionality. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer 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 multipliive. Choice C is incorrect and may result from an arithmetic error.
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