1. 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 mi, $1.70 for a delivery of at least 1 1/2 mi but less than 2 miles, and so on. How much would Tim charge to make a delivery 2 5/8 mi away?
2. A store owner had Tim deliver 3 packages. The first went to a customer 3 7/8 mi away. The second went to a customer 2 1/4 mi away. The third package was delivered just around the corner. How much money did Tim receive?
3. If Tim raised his rates by 10%, paid to deliver 3 1/8 mi?
Looks like $1.25 for the first 1.5 miles, and $.45 more for every 1/2 mile beyond that.
So, since 2 5/8 = 1 1/2 + 1/2 + 1/2 + 1/8, the charge is
$1.25 + 0.45 + 0.45 + 0.45 = $2.60
Now work on the other parts.
To answer these questions, we need to calculate the delivery charges based on the distance traveled. Here's how you can calculate the charges in each scenario:
1. For the first question, we need to find out how much Tim would charge to make a delivery 2 5/8 miles away.
- The delivery charges are based on the distance in increments of 1/2 mile.
- Since 2 5/8 miles is between 2 and 3 miles, it falls into the category of "$1.70 for a delivery of at least 1 1/2 mi but less than 2 miles."
- So, Tim would charge $1.70 for this delivery.
2. For the second question, we need to calculate the charges for each of the three deliveries and then add them up to find out how much Tim received overall.
- The first delivery was 3 7/8 miles away. It falls into the category of "$1.70 for a delivery of at least 1 1/2 mi but less than 2 miles." So, Tim would charge $1.70 for this delivery.
- The second delivery was 2 1/4 miles away. It falls into the category of "$1.25 for a delivery made within 1 1/2 mi." So, Tim would charge $1.25 for this delivery.
- The third delivery was just around the corner and does not involve any distance-based charges.
- Therefore, Tim received $1.70 + $1.25 = $2.95 in total.
3. For the third question, we need to calculate the charges after Tim raised his rates by 10% for a delivery of 3 1/8 miles.
- First, we need to find the base rate for this distance before the rate increase.
- 3 1/8 miles falls into the category of "$1.70 for a delivery of at least 1 1/2 mi but less than 2 miles." So, the base rate for this distance is $1.70.
- Next, we calculate the 10% increase by multiplying the base rate by 10% (0.10).
- 10% of $1.70 is (0.10 * $1.70) = $0.17.
- The increased rate would be the sum of the base rate and the increase: $1.70 + $0.17 = $1.87.
- Therefore, Tim would charge $1.87 for a delivery of 3 1/8 miles after the 10% rate increase.
Remember, these calculations are based on the given delivery charges and distances provided in the question. Prices and rates may vary depending on specific details and circumstances.