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. If Tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles

Question

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. If Tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles

Answer 1

Apparently he charges 45 cents per 1/2 mile over 1 1/2 miles.

So, with the price rise, he'd charge
1.70 * 1.10 = 1.87 for the first 1 1/2 miles, and
0.45 * 1.10 = 0.495 for each 1/2 mile after that.
So, how many extra 1/2 miles does it take to get to over 3 miles?

Answer 2

To solve this problem, we need to calculate Tim's new rate after raising it by 10% and then find out how much he would be paid to deliver a package 3 1/8 miles.

Let's start by finding out Tim's original rates for the distances mentioned in the question:

1) For a delivery within 1 1/2 miles, Tim charges $1.25.
2) For a delivery of at least 1 1/2 miles but less than 2 miles, Tim charges $1.70.

Now, we can calculate the new rates after raising them by 10%:

1) New rate for a delivery within 1 1/2 miles: $1.25 + ($1.25 * 10%) = $1.25 + $0.125 = $1.375.
2) New rate for a delivery of at least 1 1/2 miles but less than 2 miles: $1.70 + ($1.70 * 10%) = $1.70 + $0.17 = $1.87.

Since the given distance is 3 1/8 miles, it falls into the second category. Therefore, the new rate for a delivery of this distance would be $1.87.

So, Tim would be paid $1.87 to deliver a package 3 1/8 miles.