Modeling with Quadratic Equations Answers

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

The greatest rectangular area that the farmer can enclose with 100 m of fencing is [___] m2.

Which quadratic equation models the situation correctly?

10✔ 2550

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

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

What is the equation that describes the parabola formed by the arch?

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

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

Which quadratic equation models the situation correctly? y = -0.0025(x - 90)² + 6y = -0.0025(x - 30)² + 15y = 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 + 200wA(w) = -w² + 100wA(w) = w² + 40wA(w) = w² + 90w

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

Question text not available

What is the vertex of the parbola? ([___], [___])

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

What is the vertex of the parbola? ( ⇒ 105, )

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.

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?