Part 1 8 of 10 Francesca wants to start exercising to burn at least 1800 extra c
ID: 3011273 • Letter: P
Question
Part 1 8 of 10
Francesca wants to start exercising to burn at least 1800 extra calories per week, but she does not have much spare time for exercise. According to a website, she can burn an average of 3.5 calories per minutewalking, 5 calories per minute cycling, and 10 calories per minute swimming. She would like her total time walking and cycling to be at least 3 times as long as she spends swimming. She would also like to walk at least 20 minutes per week. How much time should she spend on each activity not only to meet her goals but also to minimize her total exercise time per week? What is her minimum exercise time per week?
Let y1 be the number of minutes per week spent walking, y2 be the number of minutes per week spent cycling, and y3 be the number of minutes per week spent swimming. What is the objective function that must beminimized?
w=??? y1+??? y2+??? y3
Explanation / Answer
Ans-
One way for the 150 lb. person to burn the same amount of calories as the 250 lb. person did Walking 3 mph for 30 minutes is to walk longer so…
If the 150 lb. person Walks 3 mph for 30 minutes they will burn only 117 calories but if they walked for 60min at 3mph they would burn 235 calories so The longer you workout = the more calories you will burn.
You don't have to exercise longer to burn more calories because there is one more factor you can manipulate when it comes to burning more calories.
3. Exercising Harder or with more intensity
What if that 150 lb. person can't Walk 3 mph for 30 minutes but only has about 20 minutes to walk - what can they do to burn a lot of calories in only 20 minutes?
One solution is for them to increase the intensity of their workout activity and In this case the 150 lb. person would have to walk faster at 5mph because The higher the intensity of a workout = the more calories you will burn so basically…
The good thing about increasing workout intensity is that you don't have to workout for a long time to burn the same amount of calories working out at a lower intensity.