Problem

For \(d(t)=-3t+60\), evaluate the model at \(t=0\) and interpret the \(y\text{-}\text{intercept}\) as a point and starting distance remaining, distinguishing it from the slope.

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substitution = d(60)=0; point = (60 hours,0 miles); meaning = trip lasts 60 hours; slope distinction = -3 is rate

substitution = d(0)=60; point = (0 hours,60 miles); meaning = starting distance remaining is 60 miles; slope distinction = distance then decreases 3 miles/hour

substitution = d(0)=60; point = (0 hours,60 miles); meaning = speed is 60 miles/hour; slope distinction = -3 is starting distance

substitution = d(0)=-3; point = (0 hours,-3 miles); meaning = starting distance is -3; slope distinction = 60 miles/hour

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For \(d(t)=-3t+60\), evaluate the model at \(t=0\) and interpret the \(y\text{-}\text{intercept}\) as a point and starting distance remaining, distinguishing it from the slope.

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