Optimal Health

By: Autumn Carlston, Math Period 6, December 2nd,

Introduction to my project!

I chose optimal health as my project. This project requires me to do research on five different optimal ranges, target heart rates, cholesterol levels, vitamin consumption, optimal weight, and sugar consumption. I will use inequalities and graphs to describe the ranges of the five subjects that I have chosen. I will also include a paragraph explaining the results and what my graphs mean along with my research.

Target heart rates

The American heart association says "We don't want people to over exercise, and the other extreme is not getting enough exercise" because it is bad for your heart. Before you can learn how to calculate and monitor your target heart rate, you have to know your resting heart rate, your heart rate is the number of times your heart beats per minute when it's resting. Your resting heart rate should be between 60-80 beats per minutes, but it is sometimes different for more fit people and it also rises with age. You want to stay between 50% to 85% of your maximum heart rate, this would be your target heart rate. 50% is less than or equal to hr is less than or equal to 85%. This is the double inequality for your target heart rate.


Cholesterol levels1

Your cholesterol is important to your heart and if one has a risk of heart disease then your cholesterol comes into play more than if you didn’t have a risk. Low-density lipoprotein (LDL), or “bad” cholesterol levels are very important to one’s health. Most people should aim for an LDL level below 130 milligrams/deciliter (the American way of measuring cholesterol) or 3.4 millimoles/liter (the European way of measuring cholesterol) this is an optimal range for your triglyceride level. However, if your LDL is not in this optimal range, then do not take medicine to get it in that range, this would be bad for your heart.


Vitamin consumption!

People don’t know a lot about vitamins and if taking a higher dose than the recommended daily amount safe, For some vitamins it is safe and sometimes doctors recommend it, for example the average person can take 50 times the recommended daily allowance of vitamin B6 without reaching the upper limit. However, some people develop symptoms with these higher levels of B6, so there is always a limit on vitamins it just depends on the person.

Optimal weight!

Your healthy weight is based on your BMI (Body Mass Index) and the size of your waist, this is a good place to start to see if you are at a healthy weight. A healthy body is a body that is the best for your body type, take a 20 year old. If their BMI is less than 18.5, they are in the underweight category and is this BMI is 25 to 29.9 then they are in the recommended weight range. Some people are not happy with their weight but most of the time they are at a healthy weight, if one is unhappy with their weigh they may come to be suddenly underweight and that is healthy or unhealthy depending on their exercise and eating habits.


Sugar consumption!

Your body uses sugar for a source of energy, but the sugar your body actually uses doesn’t start as sugar. Most of the sugar your body uses is carbohydrates, from there your body breaks it down into simple sugars. Some simple sugars are absorbed very quickly and can cause high risk for diabetes and blood sugars then rise fast. Insulin is released from ones pancreas when the glucose your just broke down enters the bloodstream. If one has a slower rise in blood sugar then it reduces their risk of type 2 diabetes (the type you can develop).You should limit simple sugars to no more than 100 calories, or 25 g of added sugar per day.



A lot is known and written about optimal health parameters. What my project shows is that the use of mathematics and in particular inequalities and graphs can more clearly describe and define optimal health guidelines.

Comment Stream