I congratulate my students (Talha, Elif Ece, Aslı, Sude and Fatma Gül) who made an effort to solve the problem and successfully completed it.

Kübra SANCI

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14-year-old 8th graders Can's both mother and father work in a private company. They go to work early in the mornings and come home late from work in the evenings. For this reason, Can could not acquire a regular eating habit, and he tended to eat ready-made and high-calorie foods. As a result, he started to gain weight rapidly.

Can, who is 1.60 meters tall, has reached a weight of 82 kilograms. Realizing this problem, his mother took Can to a dietitian. The dietitian made a calculation using the body mass index formula for obesity assessment. This calculation is made by dividing the person's weight by the square of their height.

This calculation is made by dividing the person's weight by the square of their height. Can's body mass index is 31.2, which is evaluated by the dietitian according to the table below.

According to the table, it was observed that Can was in the obese group, and it is considered that it is appropriate for Can, as the first target, to rise to the overweight group, which is at least the upper group in the above table. The dietitian suggested an exercise program that he would apply without changing the calories he took daily. According to that exercise program, Can will start with 20 minutes of exercise 3 days a week and continue to exercise by increasing the daily time by 5 minutes each week, compared to the previous week. As an exercise, he will make only one selection from the table below, and he will not be allowed to change this selection. Here is a table showing which exercise corresponds to how many calories. (9 calories should be spent for 1 gram of fat.)

LETTERS WRITED TO CAN BY HİSARCIK 15 TEMMUZ ŞEHİTLERİ
ANATOLIAN HIGH SCHOOL
E-TWINNING PROJECT TEAM

Dear Can,

First of all, I calculated the weight you need to lose in order to pass from the obese group to the overweight group using the body mass index formula.

82-64 =18 and 82-76.544 =5.456

So you need to lose at least 5,456 kg and at most 18 kg.

Since I know you like to eat, I think it would be enough if you lost 6 kg.

6 kg= 6x1000=6000 gr

1 gr 9 calories

6000 gr t calories

If you need to spend 9 calories for 1 gr of fat loss, you should spend a total of 54000 calories for 6000 gr.

But first, let's find out how many calories are when you play tennis for 1 minute.

30 minutes 120 calories

1 minutes z calories

30.z=120 z=4

Yes, we can now calculate calories based on the duration of exercise you do.

Now I'll prepare a table for you that shows how many calories you will burn weekly by choosing playing tennis from the exercises. And finally, I'm going to find a mathematical model and try to figure out how many weeks it will be 54000 calories in total.

At the end of the 25th week, you will be in the overweight group and the amount of exercise you need to do in the 25th week should be 20 + ( 25-1) x 5 = 140 minutes. I think you should play tennis match with your friends for 3 days in week 25. You both have fun with your friends and 140 minutes is over immediately.

I hope you write in your other letter that you are from the overweight group, not the obese group. I believe you will lose enough weight. Take care of yourself. See you in your next letter.

ASLI