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Identify whether the following real-world examples should be modeled by a linear, quadratic, or exponential function.

Growing a culture of bacteria

The distance a jet can travel a certain speed over a given period of time

Kicking a ball into the air

Running a race at a constant speed

A pumpkin decaying

Jumping from a high dive

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Answer:

Explanation:

Growing a culture of bacteria: This example can be modeled by an exponential function, as the growth of bacteria is typically rapid and continues to accelerate over time.The distance a jet can travel at a certain speed over a given period of time: This example can be modeled by a linear function, as the distance traveled by the jet is directly proportional to the time and speed.Kicking a ball into the air: This example can be modeled by a quadratic function, as the trajectory of the ball follows a parabolic path.Running a race at a constant speed: This example can be modeled by a linear function, as the distance covered is directly proportional to the time and speed.A pumpkin decaying: This example can be modeled by an exponential function, as the rate of decay is typically accelerated over time.Jumping from a high dive: This example can be modeled by a quadratic function, as the trajectory of the diver follows a parabolic path.

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