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A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly and at a constant rate. After 8 months, he weighed 138 kilograms. He started at 90 kilograms. 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 and at a constant rate. After 88 months, he weighed 138138 kilograms. He started at 9090 kilograms.\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 and at a constant rate. After 88 months, he weighed 138138 kilograms. He started at 9090 kilograms.\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. Calculate weight gain: Determine the amount of weight gained over the 88 months.\newlineThe sumo wrestler started at 9090 kilograms and weighed 138138 kilograms after 88 months. To find the weight gained, we subtract the starting weight from the final weight.\newlineWeight gained == Final weight −- Starting weight\newlineWeight gained =138 kg−90 kg= 138 \, \text{kg} - 90 \, \text{kg}\newlineWeight gained =48 kg= 48 \, \text{kg}
  2. Find rate per month: Calculate the rate of weight gain per month.\newlineTo find the rate of weight gain per month, we divide the total weight gained by the number of months.\newlineRate of weight gain per month = Weight gainedNumber of months\frac{\text{Weight gained}}{\text{Number of months}}\newlineRate of weight gain per month = 48 kg8 months\frac{48\,\text{kg}}{8\,\text{months}}\newlineRate of weight gain per month = 6 kg/month6\,\text{kg/month}
  3. Write linear equation: Write the equation for the relationship between the weight and the number of months.\newlineWe know that the sumo wrestler gains weight at a constant rate, so we can express this as a linear equation with the slope representing the rate of weight gain per month and the y-intercept representing the starting weight.\newlineThe general form of a linear equation is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.\newlineIn this case, mm (the slope) is the rate of weight gain per month, and bb (the y-intercept) is the starting weight.\newlineTherefore, the equation is:\newliney=6x+90y = 6x + 90

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