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course MTH 173
7/1/2013 at 10:27PM
1. If you earn 32.4749 dollars in 5 hours, at what average rate are you earning money, in dollars per hour?
In order to get an average rate between two values, you must divide them e.g. miles/hour = miles per hour.
In this case, the amount of money is divided by the amount of time allotted.
32.4749 dollars / 5 hours = 6.49498
When rounded to three sig figs, the result rounds up to 6 dollars per hour. There is one one sig fig because when multiplying or dividing values, the least precise value dictates the amount of sig figs in the result. In this case, the amount of time, 5 hours, dictates that the result has one sig fig because the value is the least precise.
2. If you are earning money at the average rate of 63 dollars per hour, how much do you earn in 9 hours?
Since the average rate is already provided, you can multiply the rate, 63 dollars per hour, by the amount of time, 9 hours.
63 dollars per hour * 9 hours = 567 dollars.
At 63 dollars per hour, 567 dollars can be earned in 9 hours.
3. How long does it take to earn 58.61673 dollars at an average rate of 14 dollars per hour?
In this question, the average rate is given again but this time the amount of time must be found. Here, you can divide the amount of money, 58.61673 dollars, by the average rate, 15 dollars per hour to find the amount of time.
58.61673 dollars / 14 dollars per hour = 4.1869 hours.
This can be rounded to two sig figs, resulting in 4.2 hours.
4. If you travel 88.24357 miles in 8 hours, at what average rate are you traveling, in miles per hour?
88.24357 miles / 8 hours = 11 dollars per hour.
The average rate is 11 dollars per hour.
5. If you are traveling at an average rate of 30 miles per hour, how far do you travel in 7 hours?
30 miles per hour * 7 hours = 210 miles.
The distance traveled is 210 miles.
6. How long does it take to travel 166.7345 miles at an average rate of 17 miles per hour?
166.7345 miles / 17 miles per hour = 9.8 hours.
It will take 9.8 hours to traverse 166.7345 miles.
7. If a ball rolling down a grooved track travels 136.0368 centimeters in 11 seconds, at what average rate is the ball moving, in centimeters per second?
136.0368 cm / 11 s = 12 cm/s
The ball is moving at 12 centimeters per second.
8. If a ball travels at an average rate of 38 centimeters per second, how far does it travel in 11 seconds?
38 c/s * 11 s = 418 cm.
The distance that the ball will travel is 418 cm.
9. How long does it take a rolling ball to travel 42.42459 centimeters at an average rate of 6 centimeters per second?
42.42459 cm / 6 cm/s = 7 s
It will take the ball 7 seconds to travel 42.42459 centimeters.
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