I was just wondering if my answer is correct when solving this problem. neysha g

Question

I was just wondering if my answer is correct when solving this problem. neysha gonzalez User Settings My Classes- Log Out Course Messages Forums Calendar Gradebook PROJECT 3A: SYSTEM OF LINEAR EQUATIONS - Exercise, Calories and Systems of Equations System of Linear Equations - Exercise, Calories and Systems of Equations PROJECT IS BASED ON Lynette Meslinsky, jill O'Malley Project Title: Exercise, Calories and Systems of Equations Project Description: Students will use an Exercise Calorie Expenditure table to obtain 30 minute calorie equivalents for varying exercises. These will be used to solve systems of equations relating weight, time spent exercising and calories burned. Checks will be required for all work. 1. Essential Question How can I use systems of equations to solve problems relating calories and time spent exercising? B. Introduction A table has been provided for you to use with this project which provides data for different weights on Exercise Calorie Expenditures Sorted by Activity. This table gives you an idea of how many calories you may be expending while performing a range of activities for 30 11/9/2

Explanation / Answer

a)

Aerobic Step = 436 calories burned per hour, let (A) hours spent on it

Stair climber = 480 calories burned per hour, let (S) hours spent on it

436A + 480S = 3500

A = 2

S = (3500 - 436*2 )/480 = 5.475 hours = 5.5 hours

b)

total hours spent = 5.5 + 2 = 7.5 hours

c)

check

5.475 hours of stair climber = 2628 calories burned

2 hours of aerobic climber = 872 calories burned

total calories burned = 3500

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