# Algebraic Model: The taxiway ised by an aircraft to exit a runway should not have sharp curves. The table lists the minimum radius y of the exit curves (in feet) for a taxi speed of x miles per hour. Find an algebraic model that fits the data. Include a graph of the model and use the model to find a safe taxi speed for an exit curve with a radius of 500 feet.x mph 0 10 20 30 40 50y feet 0 50 200 450 800 1250

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Algebraic Model: The taxiway ised by an aircraft to exit a runway should not have sharp curves. The table lists the minimum radius y of the exit curves (in feet) for a taxi speed of x miles per hour. Find an algebraic model that fits the data. Include a graph of the model and use the model to find a safe taxi speed for an exit curve with a radius of 500 feet.

x mph 0 10 20 30 40 50

y feet 0 50 200 450 800 1250

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Step 1

We use the following formula to determine the slope and intercept of a straight line. Here n is the number of samples that is 6.

Step 2

We get

Slope = 25

Intercept = -166

So we get t...

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