Example Question - miles per hour
Here are examples of questions we've helped users solve.
Calculating Miles Driven Over Time
To solve this question, let's do it step by step. a) To find the unit rate, we determine the number of miles Meng can drive in one hour. The unit rate is found by dividing the total distance by the total time. The equation would be: Unit rate = Total miles / Total hours Plug in the numbers: Unit rate = 150.75 miles / 4.5 hours = 33.5 miles/hour So Meng drives at a rate of 33.5 miles per hour. b) The constant of proportionality, \( k \), in this context is the same as the unit rate since it represents the constant value that relates the number of hours driven to the number of miles covered. Therefore, \( k = 33.5 \) miles per hour. c) To complete the table, multiply the constant of proportionality, \( k \), by each number of hours. For 1 hour: Miles = k * Hours = 33.5 miles/hour * 1 hour = 33.5 miles For 2 hours: Miles = k * Hours = 33.5 miles/hour * 2 hours = 67 miles For 3 hours: Miles = k * Hours = 33.5 miles/hour * 3 hours = 100.5 miles For 4 hours: Miles = k * Hours = 33.5 miles/hour * 4 hours = 134 miles For 5 hours: Miles = k * Hours = 33.5 miles/hour * 5 hours = 167.5 miles Therefore, the completed table is: | Hours | 1 | 2 | 3 | 4 | 5 | |-------|-------|------|--------|-------|--------| | Miles | 33.5 | 67 | 100.5 | 134 | 167.5 |
Calculating Unit Rate for Travel Distance
The image shows a question asking to write the travel of 341 miles in 5.5 hours as a unit rate. A unit rate is the rate for one unit of a given quantity. In this case, we want to find out the number of miles traveled in one hour. To find the unit rate, you divide the number of miles by the number of hours: 341 miles ÷ 5.5 hours = 62 miles/hour. So, the correct choice is B, and the unit rate is 62 miles per hour.
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