Exploring Baby Weight Mathematically
A baby's weight changes dramatically in the first weeks of life. For example, let's look at data for Baby Kevin and Baby David.
Baby Kevin:| TIME | birth | 2 weeks | 8.5 weeks | 17 weeks | 26 weeks |
| WEIGHT | 7 lb, 6 oz | 7 lb, 6 oz | 11 lb, 7 oz | 14 lb, 8 oz | 16 lb, 5 oz |
| TIME | birth | 3 weeks | 4 weeks | 5 weeks |
| WEIGHT | 7 lb, 9 oz | 8 lb, 14 oz | 9 lb, 12 oz | 10 lb, 6 oz |
|

1. Graph the equation
which
models David’s weight using a graphing calculator and predict how much he will
weigh at 6 weeks. Compare this to his actual weight, which I will tell you separately. (Sorry, I cannot report it to you here lest it spoil the discovery.)
with
pencil and paper. It may look formidable at first, but it can actually be done.
How?
3. The model for Kevin’s weight is made of two equations: one piece for weeks 0 through 8.5, and another for weeks 8.5 through 26. Why was it constructed this way? Hint: A graphing calculator will unveil the answer.
4. What amount does the
model suggest is the smallest David ever weighed? How old was he at
this time? Same questions for Kevin.
5. At what age do you think the boys were closest in weight? Was it at birth (3 oz.)? Was it at the age David weighed his lowest? After you take a guess, use a graphing calculator to determine what the model suggests.
Want to know how to find the
answers to these and other interesting questions?
Take my College Algebra class MA
153 or MA 151 and you're
on your way!