Question
STORY PROBLEM
Ms. Roos’s sons, Miles and GJ are filling bogs with small gifts and condy for their locol family shelter.
Miles has olreody filled 3 bogs and will continue to fill them ot a rate of 1 bog per hour. GJ con fill 4
bags per hour: At some point, CJ will catch up with Miles and they will have completed the same
number of bogs. How long will thot toke? How many bogs will each worker have filled by then?
Question 1
Which equation below represents the rate at which
Miles fills bags?
Ms. Roos’s sons, Miles and GJ are filling bogs with small gifts and condy for their locol family shelter.
Miles has olreody filled 3 bogs and will continue to fill them ot a rate of 1 bog per hour. GJ con fill 4
bags per hour: At some point, CJ will catch up with Miles and they will have completed the same
number of bogs. How long will thot toke? How many bogs will each worker have filled by then?
Question 1
Which equation below represents the rate at which
Miles fills bags?
Ask by Burton Norris. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation that represents the rate at which Miles fills bags is
Solution
- Let
be the number of hours Miles continues working. - Miles has already filled 3 bags. Thus, after
hours, the total number of bags he fills is given by adding the bags he fills in those hours to the 3 he already filled. - Since his rate is 1 bag per hour, in
hours he fills bags. - Therefore, the total number of bags is given by:
- Comparing with the options provided, the equation
correctly represents the rate at which Miles fills bags.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To find the correct equation representing the rate at which Miles fills bags, let’s break down the details. Miles starts with 3 bogs and fills 1 bog per hour. If we let
Now, for GJ, who fills bogs at a rate of 4 per hour, the equation would be
Now, how about problem-solving tips? A big misstep can be assuming both are filling bogs simultaneously from the start when actually Miles already has a head start with 3 filled. Also, try to set equations clearly and do not mix variables! Engaging with the problem step by step will unravel any confusions.
If you’re looking for further reading, check out foundational algebra texts that explain graphing linear equations and systems of equations. Websites like Khan Academy and Math Is Fun offer great insights and exercises on these concepts!
