AnswersFL-1200330-Algebra 2 CRModeling with Quadratic Equations

Modeling with Quadratic Equations Answers

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Again, the quarterback throws the football, but this time the model y = –16x2 + 35x + 6.5 describes the height (y), in feet, of the football x seconds after it is thrown. If the ball is not caught, how long will it be in the air?0 = –16x2 + 35x + 6.5x = Rounded to the nearest tenth, the solutions of the equation are .

Question illustration
A
-2.4, 0.2
B
-0.2, 0.9
C
-0.2, 2.4
2
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Which quadratic equation models the situation correctly?

A
h(t) = –16t2 + 61
B
h(t) = –16t2 + 202.5
C
h(t) = –16t2 + 56t + 5
D
h(t) = –16t2 + 56t + 6.5
3

What is the value of a?

A
–0.096
B
–0.0048
C
0.0048
D
0.096
4

Choose the equation one must solve to answer the question.

A
0 = 0.0048(x – 50)2 + 6
B
10 = 0.0048(x – 50)2 + 6
C
y = 0.0048(10 – 50)2 + 6
5

Why can you eliminate the solution of -0.2 in the context of this problem? Check all that apply.

A
The height of the ball must be positive.
B
It does not make sense for time to be negative.
C
The ball cannot hit the ground before it is thrown.
6

Which quadratic equation models the situation correctly?

A
d(v) = 2.15v² / 0.35
B
d(v) = 2.15v² / 22.54
C
d(v) = 2.15v² / 64.75
D
d(v) = 2.15v² / 184
7

Which quadratic equation models the main cable of the bridge correctly?

A
y = 0.048x2 – 2494
B
y = 0.048x2 – 6
C
y = 0.0048(x – 50)2 + 6
D
y = 0.0048(x – 6)2 + 50
8

The cable is 10 feet above the roadway at horizontal distances of about from the left support.

A
4 ft and 96 ft
B
13 ft and 87 ft
C
21 ft and 79 ft
D
48 ft and 52 ft

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Modeling with Quadratic Equations Answers…