SOLUTION: For children between ages 6 and 10, height y in (inches) is frequently a linear function of age t ( in years). The height of certain child is 48 inches at age 6 and 50.5 inches at

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: For children between ages 6 and 10, height y in (inches) is frequently a linear function of age t ( in years). The height of certain child is 48 inches at age 6 and 50.5 inches at       Log On


   

Question 327917: For children between ages 6 and 10, height y in (inches) is frequently a linear function of age t ( in years). The height of certain child is 48 inches at age 6 and 50.5 inches at age 7.
a) Express y as function of t.
b) Predict the height of the child at age 10.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You have two points (6,48) and (7,50.5).
Use the formula for slope,
m=%28y2-y1%29%2F%28x2-x1%29=%2850.5-48%29%2F%287-6%29=2.5%2F1=2.5
Then use the point-slope form of a line,y-yp=m%28x-xp%29,with either point.
y-48=2.5%28t-6%29
y-48=2.5t-15
highlight%28y=2.5t%2B33%29
.
.
.
What is the height(y) when the age(t) is 10?
H=2.5%2810%29%2B33
H=25%2B33=58 inches