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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=◻+ bar(+×)

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 55.55 kilograms per month.\newlineLet y y represent the sumo wrestler's weight (in kilograms) after x x 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 55.55 kilograms per month.\newlineLet y y represent the sumo wrestler's weight (in kilograms) after x x months.\newlineComplete the equation for the relationship between the weight and number of months.\newliney=□ y=\square
  1. Find initial weight: Identify the initial weight of the sumo wrestler.\newlineThe sumo wrestler's weight after 00 months is the initial weight, which we need to find. We know that after 1111 months, he weighs 140140 kilograms, and he gains weight at a rate of 5.55.5 kilograms per month. To find the initial weight, we subtract the total weight gained from the weight after 1111 months.\newlineInitial weight == Weight after 1111 months −- (Weight gain per month ×\times Number of months)\newlineInitial weight =140 kg−(5.5 kg/month×11 months)= 140 \, \text{kg} - (5.5 \, \text{kg/month} \times 11 \, \text{months})\newlineInitial weight 111100\newlineInitial weight 111111
  2. Write equation for weight after xx months: 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 of the sumo wrestler after xx months can be represented by the initial weight plus the weight gained over xx months.\newliney=y = Initial weight +(+ (Weight gain per month ∗* Number of months))\newliney=79.5y = 79.5 kg xx00 kg/month xx11
  3. Check equation for errors: Check the equation for any mathematical errors.\newlineWe have the initial weight as 79.5 kg79.5\,\text{kg} and the weight gain per month as 5.5 kg5.5\,\text{kg}. Multiplying the weight gain per month by the number of months (xx) and adding it to the initial weight gives us the sumo wrestler's weight after xx months.\newliney=79.5+5.5xy = 79.5 + 5.5x\newlineThis equation correctly represents the relationship between the sumo wrestler's weight and the number of months.

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