Farrah embarks on a walking program. She walks 600 meters on the first day. She will increase the distance by 225 meters each day. Find the distance that she will walk on the 18th... Farrah embarks on a walking program. She walks 600 meters on the first day. She will increase the distance by 225 meters each day. Find the distance that she will walk on the 18th day of the program in kilometers and meters.
Understand the Problem
The question is asking us to calculate the distance Farrah will walk on the 18th day of her walking program. Her starting distance is 600 meters, and she increases her distance by 225 meters each day. We need to find the distance for the 18th day and express it in kilometers and meters.
Answer
4 kilometers and 425 meters.
Answer for screen readers
4 kilometers and 425 meters.
Steps to Solve
- Calculate the total increase in distance
Farrah increases her distance by 225 meters each day. From day 1 to day 18, there are 17 days of increase. So, the total increase in distance is:
$17 \times 225 = 3825$ meters
- Calculate the total distance on the 18th day
The distance on the first day is 600 meters. The total increase after 17 days is 3825 meters. Therefore, the distance on the 18th day is:
$600 + 3825 = 4425$ meters
- Convert the total distance to kilometers and meters
Since 1 kilometer is equal to 1000 meters, we can convert 4425 meters to kilometers and meters:
$4425 \div 1000 = 4$ kilometers and $425$ meters
4 kilometers and 425 meters.
More Information
The problem involves an arithmetic sequence where the first term is 600 meters and the common difference is 225 meters. We are finding the 18th term of this sequence.
Tips
A common mistake is to multiply 225 by 18 instead of 17. The increase only happens for 17 days between the first and the 18th day.
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