Rodolfo wants to determine how best to benefit from his weekly workouts. His goal is to burn at least 3300 calories per week from jogging and playing soccer. He can burn 700 calories each hour he spends jogging and 600 calories each hour he spends playing soccer. If Rodolfo's schedule permits him to spend at most 3 hours per week playing soccer and at most 5 total hours per week exercising, which of the following exercise schedules will allow him to meet his weekly goal? Choose 1 answer: A 4 hours playing soccer and 1 hour jogging (B) 1 hour playing soccer and 5 hours jogging (C) 3 hours playing soccer and 2 hours jogging (D) 2 hours playing soccer and 3 hours jogging

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Calculate Soccer Calories: Determine the maximum calories Rodolfo can burn from playing soccer. Maximum hours for soccer = 3 hours Calories burned per hour playing soccer = 600 calories Maximum calories from soccer = Maximum hours for soccer * Calories burned per hour playing soccer Maximum calories from soccer = 3 hours * 600 calories/hour Maximum calories from soccer = 1800 caloriesCalculate Jogging Calories: Determine the maximum calories Rodolfo can burn from jogging. Maximum hours for jogging = 5 hours - Maximum hours for soccer (since he can exercise for at most 5 hours in total) Maximum hours for jogging = 5 hours - 3 hours Maximum hours for jogging = 2 hours Calories burned per hour jogging = 700 calories Maximum calories from jogging = Maximum hours for jogging * Calories burned per hour jogging Maximum calories from jogging = 2 hours * 700 calories/hour Maximum calories from jogging = 1400 caloriesCalculate Total Calories: Calculate the total maximum calories Rodolfo can burn from both activities. Total maximum calories = Maximum calories from soccer + Maximum calories from jogging Total maximum calories = 1800 calories + 1400 calories Total maximum calories = 3200 caloriesCheck Weekly Goal: Check if the total maximum calories meet Rodolfo's weekly goal. Rodolfo's weekly goal = 3300 calories Does Total maximum calories >= Rodolfo's weekly goal? 3200 calories >= 3300 calories? No.Option A Calculation: Since the total maximum calories do not meet the weekly goal, we need to adjust the hours spent on each activity. Let's check each option given. Option A: 4 hours playing soccer and 1 hour jogging Calories burned = (4 hours * 600 calories/hour) + (1 hour * 700 calories/hour) Calories burned = 2400 calories + 700 calories Calories burned = 3100 calories Does this meet the goal? 3100 calories >= 3300 calories? No.Option B Calculation: Check option B. Option B: 1 hour playing soccer and 5 hours jogging This option is not possible because Rodolfo can only exercise for a maximum of 5 hours in total and he can't spend more than 3 hours playing soccer.Option C Calculation: Check option C. Option C: 3 hours playing soccer and 2 hours jogging Calories burned = (3 hours * 600 calories/hour) + (2 hours * 700 calories/hour) Calories burned = 1800 calories + 1400 calories Calories burned = 3200 calories Does this meet the goal? 3200 calories >= 3300 calories? No.Option D Calculation: Check option D. Option D: 2 hours playing soccer and 3 hours jogging Calories burned = (2 hours * 600 calories/hour) + (3 hours * 700 calories/hour) Calories burned = 1200 calories + 2100 calories Calories burned = 3300 calories Does this meet the goal? 3300 calories >= 3300 calories? Yes.

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