A young sumo wrestler goes on a special diet to gain weight. The variable w models the wrestler's weight (in kilograms) after the wrestler has been on a special diet for t months. The equation w=80+5.4t models the situation. How much weight does the wrestler gain every 2 months?(A) 11(B) 10.8(C) 9.7(D) 12
Q. A young sumo wrestler goes on a special diet to gain weight. The variable w models the wrestler's weight (in kilograms) after the wrestler has been on a special diet for t months. The equation w=80+5.4t models the situation. How much weight does the wrestler gain every 2 months?(A) 11(B) 10.8(C) 9.7(D) 12
Identify Rate of Weight Gain: Identify the rate of weight gain per month from the equation.The equation w=80+5.4t shows that the wrestler's weight w is equal to the initial weight (80kg) plus the weight gained over time, which is 5.4kg per month times the number of months t.
Calculate Weight Gain: Calculate the weight gain over 2 months.Since the weight gain per month is 5.4kg, we multiply this rate by 2 months to find the total weight gain over that period.Weight gain over 2 months = 5.4kg/month×2months=10.8kg
Check Answer Choices: Check the answer choices to find the correct one.The calculation shows that the wrestler gains 10.8kg every 2 months, which corresponds to answer choice (B).
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