Austin throws a rock in the air. The height, h, in feet above the ground by h = -16t2 + 123t+ 40. How long is the rock in the air? Claim: The rock will be in the air for 8 seconds at an initial velocity of 123 ft/sec and an initial height of 40 feet. Reasoning: The equation will be equal to 0 since the height is 0 ft when the rock is on the ground. I solved the equation using the quadratic formula by plugging in a, b and c. The radicand was a perfect square that I was able to take the square root of. I got 2 answers but only one is reasonable for time since time can't be negative. ground is given
Austin throws a rock in the air. The height, h, in feet above the ground by h = -16t2 + 123t+ 40. How long is the rock in the air? Claim: The rock will be in the air for 8 seconds at an initial velocity of 123 ft/sec and an initial height of 40 feet. Reasoning: The equation will be equal to 0 since the height is 0 ft when the rock is on the ground. I solved the equation using the quadratic formula by plugging in a, b and c. The radicand was a perfect square that I was able to take the square root of. I got 2 answers but only one is reasonable for time since time can't be negative. ground is given
Chapter7: Rational Expressions And Functions
Section7.5: Solve Applications With Rational Equations
Problem 7.98TI: Victoria jogs 12 miles to the park along a flat trail and then returns by jogging on an 20 mile...
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Question
Write a CR for the solved problem. A example of one is attached as well.
For the CR you should answer the question of , do you get 2 real solutions, 1 real solution, or 2 complex solutions?
For your reasoning you should explain how you know. Use the example attached to help you answer.
hints: that plus minus sign means there are two answers. If the number under the square root is positive, you have two real solutions. If the number is negative you have two complex solutions. If the number is 0 under the square root you have 1 real number solution.
Transcribed Image Text:Austin throws a rock in the air. The height, h, in feet above the ground Is
by h = -16t² + 123t+ 40. How long is the rock in the air?
Claim: The rock will be in the air for 8 seconds at an initial velocity of 123 ft/sec and an
initial height of 40 feet.
Reasoning: The equation will be equal to 0 since the height is 0 ft when the rock is on the
ground. I solved the equation using the quadratic formula by plugging in a, b and c. The
radicand was a perfect square that I was able to take the square root of. I got 2 answers but
only one is reasonable for time since time can't be negative.
is given
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