SOLUTION: A newborn baby weighed 11 pounds at birth and was 22 inches tall. After 66 months the baby weighs 17 pounds and is 25 inches tall. Write a linear function W(t) to represent the

Algebra ->  Linear-equations -> SOLUTION: A newborn baby weighed 11 pounds at birth and was 22 inches tall. After 66 months the baby weighs 17 pounds and is 25 inches tall. Write a linear function W(t) to represent the      Log On


   



Question 1087076: A newborn baby weighed 11 pounds at birth and was 22 inches tall. After 66 months the baby weighs 17 pounds and is 25 inches tall.
Write a linear function W(t) to represent the baby’s weight in pounds (W) at t months of age. Enter exact answers only, no approximations. W(t)=
Write a linear function H(t) to represent the baby’s height in inches (H) at t months of age. Enter exact answers only, no approximations. H(t)=
What will the child’s weight and height be on their first birthday? ROUND YOUR ANSWERS TO THE NEAREST WHOLE NUMBER.
W(12)=
H(12)=
I am confused I was thinking it added 6 and then 3 to the inches but I don't know how to word it


Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I hope there is a typo and the problem should read that after 6 months the baby weighs 17 pounds and is 25 inches tall, because 66 months is 5 and a half years old, and a five year old child of that size would be dead or about to die from malnutrition or starvation.

If a child is born weighing 11 pounds and measuring 22 inches in length,
and 6 months later weighs 17 pounds and measures 25 inches in length,
assuming that weight, W%28t%29 , and length, H%28t%29 ,
are linear functions of time t , in months,
those functions are
W%28t%29=%28%2817-11%29%2F6%29t%2B11 <---> highlight%28W%28t%29=t%2B11%29 and
H%28t%29=%28%2825-22%29%2F6%29t%2B22 <---> highlight%28H%28t%29=%281%2F2%29t%2B22%29 .
Then, assuming that the child continues to grow linearly,
at 1 year old t=12, the child's weight and height would be
W%2812%29=12%2B11 <---> highlight%28W%2812%29=23%29 and
H%2812%29=%281%2F2%2912%2B22%29 <---> highlight%28H%2812%29=28%29 .