Modeling with Quadratic Equations

Question 1

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

Revolt · Accepted Answer

0.39

Question 2

Choose the quadratic model for the situation.

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-03-09-20-01-task/mc001-3.jpg

Question 3

Which quadratic equation models the situation correctly?

Revolt · Accepted Answer

y = 0.0018(x – 105)2 + 7

Question 4

10✔ 2550

Revolt · Accepted Answer

25

Question 5

What is the vertex of the parbola? (, )

Revolt · Accepted Answer

Part 1: 105; Part 2: 7; 105

Question 6

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

Revolt · Accepted Answer

40

Question 7

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

Revolt · Accepted Answer

A(w) = 50w – w2

Question 8

Choose the quadratic equation that models the situation.

Revolt · Accepted Answer

h(t) = -4.9t² + 60

Question 9

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

Revolt · Accepted Answer

y = -0.071(x - 13)² + 12

Question 10

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.

Revolt · Accepted Answer

Replace y with 50 to get 50 = -10x² + 160x - 430. In standard form, this becomes x² - 16x + 48 = 0, which factors as (x - 4)(x - 12) = 0. I would use factoring because the quadratic factors easily, giving selling prices of $4 and $12.

Modeling with Quadratic Equations Answers

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