Modeling with Quadratic Equations Answers

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

AB✔ CD an x-intercept of the function

✔ ABCD 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

The main cable attaches to the left bridge support at a height of ft.

The rancher decides to make the width of the rectangle 40 ft. What is the area of the rectangle? ft2

The main cable attaches to the right bridge support at the same height as it attaches to the left bridge support. What is the distance between the supports? ft

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

Question text not available

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.