SOLUTION: which algebraic equation best describes the total growth (T) in height of pine trees over a 3-year period, if g equals the rate of growth in centimeters per year?

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Question 549717: which algebraic equation best describes the total growth (T) in height of pine trees over a 3-year period, if g equals the rate of growth in centimeters per year?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if the growth rate is specified in centimeters per year, then a straight line equation appears to model it the best.
the number of centimeters per year is the slope.
your equation would be y = g * x + b where g is the number of centimeters of growth per year and b is the starting height.
this would lead to a straight line.
example:
growth rate is 5 centimeters per year for 3 years starting at 10 centimeters of height.
graph of that equation i shown below:
graph%28400%2C400%2C-1%2C5%2C-1%2C29%2C5x%2B10%2C10%2C15%2C20%2C25%29
horizontal lines were drawn at 10, 15, 20, 25 to show you the height of the trees in years 0, 1, 2, 3.