Multiple choice

s = 60t The equation above can be used to calculate the distance s, in miles, traveled by a bus moving at a speed of 60 miles per hour over a period of t hours. For any positive constant k, the distance the bus would have traveled after 10k hours is how many times the distance the bus would have traveled after 2k hours?

  1. 4

  2. 5

  3. 5k

  4. 7k
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B Correct answer
Explanation

Distance s = 60t. Distance at 10k hours is 60 * 10k = 600k. Distance at 2k hours is 60 * 2k = 120k. The ratio is 600k / 120k = 5.

AI explanation

Substituting 10k for t in the equation gives the first distance as s = 60 * 10k, which equals 600k. Substituting 2k for t gives the second distance as s = 60 * 2k, which equals 120k. Dividing 600k by 120k shows that the first distance is 5 times the second distance.

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