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? $$ x+3 y=9 $$ $$ y=4 x $$ $$ y=x+3 $$ $$ y=3 x+1 $$

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1. Let $$ x $$ be the number of hours Miles continues working.
2. Miles has already filled 3 bags. Thus, after $$ x $$ hours, the total number of bags he fills is given by adding the bags he fills in those $$ x $$ hours to the 3 he already filled.
3. Since his rate is 1 bag per hour, in $$ x $$ hours he fills $$ 1 \times x = x $$ bags.
4. Therefore, the total number of bags is given by:
   $$
   y = x + 3
   $$
5. Comparing with the options provided, the equation $$ y = x + 3 $$ correctly represents the rate at which Miles fills bags.
The equation that represents the rate at which Miles fills bags is $$ y = x + 3 $$.

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