Modeling with Quadratic Equations Answers

Determine the value of f, rounded to the nearest hundredth.

Choose the quadratic model for the situation.

Which quadratic equation models the situation correctly?

10✔ 2550

What is the vertex of the parbola? (, )

Complete the quadratic equation that models the situation. h(t) = –16t2 + t + 6

A(w) = w2 – 50wA(w) = w2 – 100wA(w) = 50w – w2A(w) = 100w – w2

Find the length and width of the greatest rectangular area that the farmer can enclose with 100 m of fencing.

Choose the quadratic equation that models the situation.

What is the equation that describes the parabola formed by the arch?y = -0.090(x - 13)² + 12y = -0.090(x - 12)² + 13✔ y = -0.071(x - 13)² + 12y = -0.071(x - 12)² + 13

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Match each item with what it represents in this situation by entering the appropriate letter in each box. x-coordinate of the vertex of the function y-coordinate of the vertex of the function an x-intercept of the function a y-intercept of the function

Which quadratic equation models the situation correctly? y = -0.0025(x - 90)² + 6y = -0.0025(x - 30)² + 15✔ y = 0.0025(x - 90)² + 6y = 0.0025(x - 30)² + 15

Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet?A(w) = -w² + 200w✔ A(w) = -w² + 100wA(w) = w² + 40wA(w) = w² + 90w

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⇒ 625

To the nearest tenth of a second, how long after the pebble falls will it hit the ground? s