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What is the original speed using a quadratic function
Driving along a crowded freeway, you notice that it takes a time t to go from one mile marker to the next. When you increase your speed by 8.4 mi/hr, the time to go one mile decreases by 14 seconds. What was your original speed? (rounded to the nearest whole number).
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distance = rate * time
Therefore, time = distance/rate. Time before speeding up was t. Time after speeding up was 14 seconds faster. Rate before speeding up was r. Rate after was 8.4 mph faster. Time_after = Time_before - 14 distance/rate_after = distance/rate_before - 14 1/r = 1/(r+8.4) - 14 Can you solve for r now? |
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