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A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After 11 months, he weighed 140 kilograms. He gained weight at a rate of 5.5 kilograms per month. Let y represent the sumo wrestler's weight (in kilograms) after x months. Complete the equation for the relationship between the weight and number of months. y=◻

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After 1111 months, he weighed 140140 kilograms. He gained weight at a rate of 5.55.5 kilograms per month.\newlineLet yy represent the sumo wrestler's weight (in kilograms) after xx months.\newlineComplete the equation for the relationship between the weight and number of months.\newliney=□y=\square

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Q. A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After 1111 months, he weighed 140140 kilograms. He gained weight at a rate of 5.55.5 kilograms per month.\newlineLet yy represent the sumo wrestler's weight (in kilograms) after xx months.\newlineComplete the equation for the relationship between the weight and number of months.\newliney=□y=\square
  1. Identify initial weight: Identify the initial weight of the sumo wrestler.\newlineSince the sumo wrestler gained weight over 1111 months, we need to find out his initial weight before he started gaining weight.\newlineWe know that he gained 5.55.5 kilograms each month for 1111 months, which totals 5.5 kg/month×11 months=60.55.5 \, \text{kg/month} \times 11 \, \text{months} = 60.5 kilograms.\newlineTo find the initial weight, we subtract the total weight gained from his weight after 1111 months.\newlineInitial weight == Final weight −- Weight gained\newlineInitial weight =140 kg−60.5 kg= 140 \, \text{kg} - 60.5 \, \text{kg}
  2. Calculate initial weight: Calculate the initial weight.\newlineInitial weight = 140 kg−60.5 kg140\,\text{kg} - 60.5\,\text{kg}\newlineInitial weight = 79.5 kg79.5\,\text{kg}\newlineThis is the weight of the sumo wrestler before he started the diet.
  3. Write equation for weight: Write the equation for the sumo wrestler's weight after xx months.\newlineWe know that the sumo wrestler gains 5.55.5 kilograms each month. Therefore, the weight after xx months can be calculated by adding the weight gained over xx months to the initial weight.\newlineWeight after xx months = Initial weight + (Weight gained per month * Number of months)\newliney=y = Initial weight + (5.5 kg/month×x)(5.5 \, \text{kg/month} \times x)
  4. Substitute initial weight: Substitute the initial weight into the equation.\newlineWe have already calculated the initial weight to be 79.5 kg79.5\,\text{kg}.\newliney=79.5 kg+(5.5 kg/month×x)y = 79.5\,\text{kg} + (5.5\,\text{kg}/\text{month} \times x)\newlineThis is the equation that represents the sumo wrestler's weight after xx months.

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