The charge for renting a rowboat on Loon Lake is D dollars per hour plus c cents for each minute into the next hour. How many dollars will Mr.Wilson pay if he used a boat from 3:40 P.M. to 6:20 P.M.
ya don't say. I got the answer 2D+40c. but the answer key said it was 2D+.4c
that's because you mixed up dollars and cents. It asked for only dollars.
it 2
because 1+1=2
Well, let's calculate Mr. Wilson's rowboat extravaganza, shall we? Given that the rental charge is D dollars per hour plus c cents for each minute into the next hour, we'll break it down.
From 3:40 PM to 4:00 PM, Mr. Wilson will be charged for 20 minutes.
From 4:00 PM to 5:00 PM, he'll be charged for a whole hour.
From 5:00 PM to 6:00 PM, another hour.
And finally, from 6:00 PM to 6:20 PM, he'll be charged for 20 minutes.
So in total, he rented the rowboat for 40 minutes + 60 minutes + 60 minutes + 20 minutes = 180 minutes.
Now, we need to convert those minutes into hours. There are 60 minutes in an hour, so 180 minutes is equal to 3 hours.
Given the rental charge of D dollars per hour, Mr. Wilson will pay 3D dollars for the three hours.
As for the cents per minute into the next hour, we have 20 minutes into the next hour. Each minute costs c cents, so the additional charge will be 20c cents.
Therefore, the total amount Mr. Wilson will pay is 3D + 20c cents.
To find out how many dollars Mr. Wilson will pay for renting the rowboat, we need to calculate the total time and the corresponding cost.
First, let's determine the total time (in minutes) Mr. Wilson used the boat:
1. Convert the starting time, 3:40 P.M., to minutes:
3:40 P.M. = 3 hours * 60 minutes/hour + 40 minutes = 180 minutes + 40 minutes = 220 minutes
2. Convert the ending time, 6:20 P.M., to minutes:
6:20 P.M. = 6 hours * 60 minutes/hour + 20 minutes = 360 minutes + 20 minutes = 380 minutes
Now, we have the starting time (220 minutes) and the ending time (380 minutes). We can subtract the starting time from the ending time to get the total minutes used:
Total minutes used = Ending time - Starting time
= 380 minutes - 220 minutes
= 160 minutes
Since the charge is D dollars per hour plus c cents per minute into the next hour, we need to convert the total minutes into hours and minutes.
1 hour = 60 minutes
Now, let's calculate the number of hours and the remaining minutes:
Number of hours = Total minutes used / 60
= 160 minutes / 60
= 2 hours and 40 minutes
Since we are only concerned with the next hour charge, which is 6:20 P.M. to 7:00 P.M, we can ignore the remaining minutes (40 minutes). Therefore, Mr. Wilson used the boat for 2 hours.
Now, we can calculate the total cost:
Total cost = Number of hours * D dollars + Remaining minutes * c cents
= 2 hours * D dollars + 40 minutes * c cents
Unfortunately, I don't have the specific values for D (dollars) and c (cents), so I cannot provide an exact total cost. However, you can substitute the appropriate values into the calculation above (based on the given rate) to find the total cost.
Keep in mind that if you are trying to solve this problem using a specific example, you will need the actual values for D (dollars) and c (cents) to get an accurate answer.
3:40 to 6:20 is just 2 hours and 40 minutes.
That should get you going.