We do not provide the units for your answers. Do no type them in the answer box. Enter the numerical value or calculations only. 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?
Speed = Distance/time
That will help in the first two problems.
300 + 20(86.8-75) = ?
Didn't I answer this for you yesterday?
(1) To find the average rate of change, we divide the total distance by the total time.
Average rate of change = Total distance / Total time
Given that you drove 2695 miles in 35 hours, the average rate of change is:
2695 miles / 35 hours = 77 miles per hour
So, your average rate of change is 77 miles per hour.
(2) If you can drive the distance at a legal 75-mile per hour rate, we can find the time it takes to complete the trip using the formula:
Time = Distance / Rate
Given that the distance is 2695 miles and the rate is 75 miles per hour, we can calculate the time it should take to complete the trip:
Time = 2695 miles / 75 miles per hour ≈ 35.93 hours
Rounding to the nearest hour, it should take you approximately 36 hours to complete the trip.
(3) If you are driving at an illegal 86.8 miles per hour rate and are stopped by a highway patrolman, your ticket cost would include a $300 processing fee plus $20 for each mile or part of a mile over the posted speed limit of 75 miles per hour.
To calculate the additional cost for exceeding the speed limit, we subtract the posted speed limit from the illegal speed and multiply the result by $20.
Additional cost = (Illegal speed - Posted speed limit) * $20
Additional cost = (86.8 miles per hour - 75 miles per hour) * $20
Additional cost = 11.8 miles per hour * $20
Additional cost = $236
Therefore, your ticket will cost you a total of $300 (processing fee) + $236 (additional cost) = $536.