Date: Fri Nov 15 14:23:33 PST 2002
Student's Name: Jessica
Mentor Reply: Hi Jessica,
Thank you for responding to the problem. I will guide you by showing how to solve the problem. The first thing that you want to do is draw a picture so that you can fully visualize the problem. The next thing you do is assign the pole a total length equal to
Date: Tue Nov 19 17:28:24 PST 2002
Student's Name: Jessica
Answer(or question to Mentor): ~Maria~
14g of fat
36g of carbs
15g of protein
are in this chesseburger
~And~
1g of fat = 9 calories
1g of carbs= 4 calories
1g of protein= 4 calories
a.To find how many calories are in the burger, I multiplyed 14g of fat and 9 calories and got 126 calories. Then I multiplyed 36g of carbs and 4 calories and got 144 calories. Then I multiplyed 15g of protein and 4 calories and got 60 calories. I added all the products up and got 330 calories in the McDonalds cheeseburger. So 330/2000 can also be known as 165/1000, then 33/200, then 16.5%. So, the McDonalds cheeseburger takes up 16.5% of her daily calories.
b .I added together the grams of fat, carbohydrates, and protein. I got 65. Then I put fourteen over 65. My answer is that 14/65 of the cheeseburger is fat.
*Challenge*
For this I drew a diagram. SInce 1/3, 3/4n and 1/2 have a common denominator of of 12, I drew a box with 12 seperated groups. These fractions then change to 4/12, 9/12, and 6/12. If the first guy ate 4/12, then I shaded in 4 of the squares, leaving 8. then he ate 9/12 or 3/4 of what was left 3/4 of 8 is 6. So, I shaded in 6 more squares, leaving two. Then, the next guy ate half of what was left, so I shaded in one more square. With one square left, there was 3 pieces. Inductively, I multiplyed three and 12 since if three was in one square and there was 12 squares. So, Lani had 36 pieces of chicken to start with.
~Jessica~
Date: Tue Nov 19 22:02:22 PST 2002
Student's Name: Jessica
Mentor Reply: Hi Jessica,
Great Job! Problem #1 and Challenge problem are both correct. Your explanations for both of the correct problem are well explain. Unfortunately, problem number #2 is not correct. The problem #2 is asking, “What fraction of calories (or percent) of the cheeseburger is fat?” Hope to hear from you soon.
Sincerely,
Maria Alvarez
Date: Wed Nov 20 22:31:18 PST 2002
Student's Name: Jessica
Instructor Comments: Maria,
Actually, her answer for #2 can be considered to be correct because the question simply states, 'What fraction of the cheeseburger is fat?' Although it makes more sense to use calories, that is not specifically called for in the problem, so her approach is fine.--Dr. Bowers
Date: Wed Nov 20 22:32:35 PST 2002
Student's Name: Jessica
Instructor Comments: PS: Since she did so well on the challenge problem, why not make up another one like the ones we did in class where there were additions as well as fractions involved? For example, why not ask her the one about the mint dish?