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Math Question ?
A newborn baby weighed 8 pounds at birth and was 16 inches tall. After 5 months the baby weighs 22 pounds and is 30 inches tall.
a) 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.
b) 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.
3 Answers
- TarkarriLv 74 weeks ago
A)you have 2 values for W and t.
t=0, W=8. & t=5, W=22
W= at + b
Substitute values
8 = a*0+b so b = 8
22 = a*5 +8 so a*5=22-8=14
Solving a=14/5=2.8
W=2.8t+8
B) can be done in the same way.
- llafferLv 74 weeks ago
Both equations can be generated the same way. Just with different points.
The points for the weight are (0, 8) and (5, 22).
Slope is the change in y over the change in x:
m = (8 - 22) / (0 - 5)
m = -14 / (-5)
m = 14/5
Your intercept is 8 since that's the value when t = 0.
So the equation is:
W(t) = (14/5)t + 8
Height function can be found in the same way using those two points, instead.
