Modeling with Quadratic Equations Answers

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

Choose the quadratic model for the situation.

The main cable of a suspension bridge forms a parabola, described by the equation y = a(x − h)2 + k. y = height in feet of the cable above the roadway x = horizontal distance in feet from the left bridge support a = a constant (h, k) = vertex of the parbola What is the vertex of the parbola? (, )

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Which quadratic equation models the situation correctly?

Complete the quadratic equation that models the situation. h(t) = –16t2 + ⇒ 24t + 6

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

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

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

10✔ 2550

Choose the quadratic equation that models the situation.h(t) = -4.9t² + 50.2h(t) = -4.9t² + 55.1✔ h(t) = -4.9t² + 60h(t) = -4.9t² + 66

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

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

To the nearest foot, what is the width of the arch 8 ft above the water? ft

The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.

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Match each item with what it represents in this situation by entering the appropriate letter in each box.ABC✔ D x-coordinate of the vertex of the function

A✔ BCD y-coordinate of the vertex of the function