Interpret terms, factors, and coefficients in polynomial and rational expressions.
Interpret a polynomial constant as output at input zero
Problem
Height is \(h(t)~=~-16t^2~+~80t~+~6\), with \(t\) in seconds and \(h\) in feet. Interpret the constant term in context.
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What this problem is really about
Interpret a polynomial's constant by evaluating the model at input zero. Every term containing the input vanishes, leaving the constant as the output and the graph's vertical intercept. Then attach the model's units: with time as input, that output describes the quantity at the initial moment, not a rate, maximum, or time when the output becomes zero.
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