Quantitative Literacy review: Mathematical Modeling

Front

What is a mathematical model?

Back

A mathematical model is a representation of a real-world situation using mathematical concepts and language, often in the form of equations.

Front

What does the function h(t) = -16t² + 8t + 24 represent?

Back

This function models the height of an object in free fall from a height of 24 feet, where t is the time in seconds.

Front

How do you determine when an object reaches a certain height using a quadratic function?

Back

Set the function equal to the desired height and solve for t.

Front

What is the significance of the coefficients in a quadratic function?

Back

The coefficients determine the shape and position of the parabola represented by the function.

Front

What does the term 'initial velocity' mean in the context of motion?

Back

Initial velocity is the speed and direction of an object at the start of its motion.

Front

What is the formula for the height of an object in free fall?

Back

h(t) = -16t² + vt + h₀, where v is the initial velocity and h₀ is the initial height.

Front

What is the maximum height of a projectile?

Back

The maximum height can be found by determining the vertex of the parabola represented by the quadratic function.

Front

How do you find the time when an object hits the ground using a height function?

Back

Set the height function equal to zero and solve for t.

Front

What type of function is y = 7(5/4)ⁿ?

Back

This is an example of an exponential growth function.

Front

What is the vertex of a parabola in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.