coach ramirez is organizing a half - marathon that is 13.1 miles long. she plans to set up a water station 1…

coach ramirez is organizing a half - marathon that is 13.1 miles long. she plans to set up a water station 1 1/3 miles into the race, and another one at the finish line. how many total water stations will be needed for this half - marathon? please round up to nearest whole number. 13 11 10 15

coach ramirez is organizing a half - marathon that is 13.1 miles long. she plans to set up a water station 1 1/3 miles into the race, and another one at the finish line. how many total water stations will be needed for this half - marathon? please round up to nearest whole number. 13 11 10 15

Answer

Explanation:

Step1: Calculate the number of intervals

The race is (13.1) miles long. If we assume a water - station at the start (which is not counted in the formula for the number of intervals between stations when we consider the distance between non - start stations). But if we consider the formula for the number of objects in a line (similar to the number of trees along a road), if the distance is (d) and the interval between stations (excluding the start and finish in a non - circular case, but here we have a start (implicit) and finish). If we assume we want to place stations at regular intervals. Let's assume we want to place stations along the (13.1) - mile course. If we consider the formula (n=\frac{d}{s}) (where (d) is the total distance and (s) is the interval between stations. But since we have a start (implicit) and a finish, the number of intervals between stations is the same as the number of stations (excluding the start, but including the finish). If we assume we want to place stations such that we can calculate the number of stations. A half - marathon is (13.1) miles. If we use the formula (n=\frac{13.1}{1}) (assuming 1 - mile intervals between stations, starting from the start (implicit) to the finish). The number of stations (n) (including the finish) is (13.1).

Step2: Round up the number

We need to round up (13.1) to the nearest whole number. Using the ceiling function (since we can't have a fraction of a water - station and we need to cover the entire (13.1) miles). When we round up (13.1) to the nearest whole number, we look at the decimal part. Since (0.1>0), we round (13.1) up to (14). But wait, if we consider the problem as: if we have a course of length (L = 13.1) miles and we want to place water - stations (including the finish line). The formula for the number of non - overlapping intervals of length (1) mile (assuming 1 - mile intervals) is (n=\lceil13.1\rceil). The ceiling of (13.1) is (14), but if we made a mistake in the first step and thought of it as (13.1\div1.1) (no, the problem says (1\frac{1}{3}) miles is not relevant for the calculation of the number of stations from the total length. Wait, re - reading the problem: "Coach Ramirez is organizing a half - marathon that is (13.1) miles long... How many total water stations will be needed for this half - marathon? Please round up to nearest whole number". The formula is (n=\lceil13.1\rceil).

Answer:

(14)