You drove 2695 miles in 35 hours.
(1) What is your average rate of change?
(2) Suppose you can drive that distance at a legal 75 mile per hour rate.
How long should it take you to complete the trip?
(3) Suppose you are driving that distance at an illegal 86.8 miles per hour rate. You are stopped by a highway patrolman who patiently explains that your foolishness just earned you a ticket. The charges include a $ 300 processing fee and $ 20 for each mile or part of a mile over the posted speed limit. The posted limit is 75-miles per hours.
How much is your ticket going to cost you?
1 and 2. Rate = distance/time
Plug in the values and solve.
3. $300 + $20(86.8-75) = ?
Beth drives 55 miles on one hour.she says she will drive a distance of about 830 miles when she drives for 26 hours is Beth's estimate right or wrong?
To find the answers to these questions, we can use some mathematical calculations.
1) To find the average rate of change, divide the total distance (2695 miles) by the total time (35 hours).
Average rate of change = Total distance / Total time
= 2695 miles / 35 hours
= 77 miles per hour
So, the average rate of change is 77 miles per hour.
2) If you are driving at a legal 75 mile per hour rate, we need to find how long it would take to complete the trip.
Time = Distance / Rate
= 2695 miles / 75 miles per hour
= 35.9333 hours
Since time cannot be measured in decimals, round the answer to the nearest whole number. Therefore, it would take you approximately 36 hours to complete the trip at a 75 mile per hour rate.
3) If you are driving at an illegal 86.8 miles per hour rate, and you are stopped and charged with a ticket, the cost would be calculated based on the processing fee and the extra miles over the speed limit.
Extra miles over the speed limit = Speed - Speed limit
= 86.8 miles per hour - 75 miles per hour
= 11.8 miles per hour
Ticket cost = Processing fee + (Extra miles * Cost per mile)
= $300 + (11.8 miles * $20 per mile)
= $300 + $236
= $536
Therefore, the ticket cost would be $536.