Modeling with Quadratic Equations

Question 1

Determine the value of v, rounded to the nearest whole number.

Revolt · Accepted Answer

56

Question 2

Which quadratic equation models the situation correctly?

Revolt · Accepted Answer

h(t) = –16t2 + 56t + 6.5

Question 3

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 -2.4, 0.2-0.2, 0.9✔ -0.2, 2.4.

Revolt · Accepted Answer

✔ -0.2, 2.4

Question 4

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

Revolt · Accepted Answer

It does not make sense for time to be negative.; The ball cannot hit the ground before it is thrown.

Question 5

To determine the value of f, substitute a pair of values for d and v into the equation and solve. Rounded to the nearest hundredth. ⇒ 0.35

Revolt · Accepted Answer

0.35

Question 6

Which quadratic equation models the situation correctly?d(v) = 2.15v² / 0.35✔ d(v) = 2.15v² / 22.54d(v) = 2.15v² / 64.75d(v) = 2.15v² / 184

Revolt · Accepted Answer

✔ d(v) = 2.15v² / 22.54

Question 7

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

Revolt · Accepted Answer

y = 0.0048(x – 50)2 + 6

Question 8

Choose the equation one must solve to answer the question.

Revolt · Accepted Answer

10 = 0.0048(x – 50)2 + 6

Question 9

The cable is 10 feet above the roadway at horizontal distances of about 4 ft and 96 ft13 ft and 87 ft✔ 21 ft and 79 ft48 ft and 52 ft from the left support.

Revolt · Accepted Answer

✔ 21 ft and 79 ft

Modeling with Quadratic Equations Answers

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