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 mi, $1. 70 for a delivery of at

least 1 mi but less than 1 mi, $2. 15 for a

delivery of at least 1. 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 35

miles?

Answer 1

It seems like there is a typo in the question. However, I will assume that the rates mentioned are for the following delivery distances:

1. $1.25 for a delivery made within 1 mile

2. $1.70 for a delivery of at least 1 mile but less than 2 miles

3. $2.15 for a delivery of at least 2 miles but less than 3 miles

4. And so on, increasing by $0.45 for each additional mile (since $1.70 - $1.25 = $0.45 and $2.15 - $1.70 = $0.45).

Now, let's find the cost of a 35-mile delivery before the 10% rate increase.

The first mile costs $1.25. For the remaining 34 miles, we need to calculate the increase in cost for each mile and then add that to the base cost.

The cost increase for the 34 miles is 34 * $0.45 = $15.30.

So, the total cost for a 35-mile delivery before the rate increase is $1.25 + $15.30 = $16.55.

Now, to find the cost after a 10% rate increase, we can simply multiply the initial cost by 1.1:

$16.55 * 1.1 = $18.205

So, if Tim raised his rates by 10%, he would be paid $18.21 (rounded to the nearest cent) to deliver a package 35 miles.