Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A young sumo wrestler goes on a special diet to gain weight. The variable ww models the wrestler's weight (in kilograms) after the wrestler has been on a special diet for tt months. The equation w=80+5.4tw=80+5.4t models the situation. How much weight does the wrestler gain every 22 months?\newline(A) 1111 \newline(B) 10.810.8 \newline(C) 9.79.7 \newline(D) 1212

Full solution

Q. A young sumo wrestler goes on a special diet to gain weight. The variable ww models the wrestler's weight (in kilograms) after the wrestler has been on a special diet for tt months. The equation w=80+5.4tw=80+5.4t models the situation. How much weight does the wrestler gain every 22 months?\newline(A) 1111 \newline(B) 10.810.8 \newline(C) 9.79.7 \newline(D) 1212
  1. Identify Rate of Weight Gain: Identify the rate of weight gain per month from the equation.\newlineThe equation w=80+5.4tw=80+5.4t shows that the wrestler's weight ww is equal to the initial weight (80kg80\,\text{kg}) plus the weight gained over time, which is 5.4kg5.4\,\text{kg} per month times the number of months tt.
  2. Calculate Weight Gain: Calculate the weight gain over 22 months.\newlineSince the weight gain per month is 5.4kg5.4\,\text{kg}, we multiply this rate by 22 months to find the total weight gain over that period.\newlineWeight gain over 22 months = 5.4kg/month×2months=10.8kg5.4\,\text{kg/month} \times 2\,\text{months} = 10.8\,\text{kg}
  3. Check Answer Choices: Check the answer choices to find the correct one.\newlineThe calculation shows that the wrestler gains 10.8kg10.8\,\text{kg} every 22 months, which corresponds to answer choice (B).

More problems from Multiply and divide rational numbers: word problems