tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles?
since the rate was 45 cents i multiplied 0.45 by 1.1 and got 0.495 and then i kept adding to the cost and 1/4 to the amount of miles until i got 3 1/8 miles. my answer was 4.715 so i rounded to 4.72, is that correct?
six quarter miles beyond the $1.70 for 1 1/2 to 1 3/4
1.70 + (6 * .45) = 4.40
4.40 * 1.1 = ?
To calculate the new rate for Tim's delivery service, you correctly raised the original rate of $0.45 by 10%. This gives us a new rate of $0.495 per delivery within the first 1 1/2 miles.
Next, let's calculate the distance of 3 1/8 miles in terms of the rates provided.
First, we have to divide the distance into the given increments.
1 1/2 miles + 1/4 mile = 1 3/4 miles
1 3/4 miles + 1/4 mile = 2 miles
2 miles + 1/8 mile = 2 1/8 miles
2 1/8 miles + 1/4 mile = 2 3/8 miles
2 3/8 miles + 1/4 mile = 2 5/8 miles
2 5/8 miles + 1/4 mile = 2 7/8 miles
2 7/8 miles + 1/4 mile = 3 1/8 miles
So, for a delivery of 3 1/8 miles, Tim would be paid for delivering within the ranges of:
- 1 1/2 miles: $0.495
- 1 3/4 miles: $1.70
- 2 miles: $2.15
- 2 1/8 miles: $2.60
- 2 3/8 miles: $3.05
- 2 5/8 miles: $3.50
- 2 7/8 miles: $3.95
- 3 1/8 miles: $4.72
So, the correct answer is $4.72. Well done!