AnswersAlgebra IIModeling with Quadratic Equations

Modeling with Quadratic Equations — Quiz Answers

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The Davidson family wants to expand its rectangular patio, which currently measures 15 feet by 12 feet They want to extend the length and width the same amount to increase the total area of the patio by 160 ft squared Which quadratic equation best models the situation? cap A is equal to l w

A
2 times open paren 15 plus x close paren plus 2 times open paren 12 plus x close paren is equal to 15 times 12 plus 160
B
15 x times 12 x is equal to 15 times 12 plus 160
C
15 times 12 plus x times x is equal to 15 times 12 plus 160
D
open paren 15 plus x close paren times open paren 12 plus x close paren is equal to 15 times 12 plus 160
4

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h of t is equal to negative 16 t squared plus 40 t plus 7 Rounded to the nearest tenth, the solutions to the equation when h of t is equal to 0 feet are negative 0 point 2 s and 2 point 7 s. Which solution can be eliminated and why?

A
The solution negative 0 point 2 s can be eliminated because time cannot be a negative value.
B
The solution negative 0 point 2 s can be eliminated because the pass was not thrown backward.
C
The solution 2 point 7 s can be eliminated because a ball cannot be in the air for that long due to gravity.
D
The solution 2 point 7 s can be eliminated because the pass was thrown backward.
5

Carmen is using the quadratic equation open paren x plus 15 close paren times x is equal to 100 where x represents the width of a picture frame. Which statement about the solutions x is equal to 5 and x is equal to negative 20 is true?

A
The solution x is equal to negative 20 should be kept, but x is equal to 5 is unreasonable.
B
The solution x is equal to 5 should be kept, but x is equal to negative 20 is unreasonable.
C
The solutions x is equal to 5 and x is equal to negative 20 are unreasonable.
D
The solutions x is equal to 5 and x is equal to negative 20 are reasonable.
6

When using a quadratic equation in the form y is equal to A x squared plus b x plus c to model the height of a projectile y over time x , which of the following is always represented by the constant term?

A
the initial velocity of the projectile
B
the maximum height of the projectile
C
the initial height of the projectile
D
the time at which the projectile hits the ground
9

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h of t is equal to negative 16 t squared plus 40 t plus 7 Rounded to the nearest tenth, the solutions to the equation when h of t is equal to 0 feet are negative 0 point 2 s and 2 point 7 s. Which solution can be eliminated and why?

A
The solution negative 0 point 2 s can be eliminated because time cannot be a negative value.
B
The solution 2 point 7 s can be eliminated because the pass was thrown backward.
C
The solution 2 point 7 s can be eliminated because a ball cannot be in the air for that long due to gravity.
D
The solution negative 0 point 2 s can be eliminated because the pass was not thrown backward.

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