U4D12 Solving Real World Problems With Quadratics Mar26
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Last updated 12 months ago
13 questions
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You and your friend throw a football. The parabola shows the path of your friend’s throw, where x is the horizontal distance (in feet) and y is the height (in feet). The path of your throw is represented by h(x) = −16x2 + 65x + 5.
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Question 5
5.
Long Division
Divide (x3 - 3x2 - 8x + 10) by (x - 1).
Write your answer in standard form.
Question 6
6.
Long Division
Divide (3x3 + 8x2 + 8x - 25) by (3x - 4).
Write your answer in standard form.
Quadratic Regression - Using Technology to Help
Scroll down to see an example.
The table shows fuel efficiencies of a vehicle at different speeds. Write a function that models the data. Use the model to approximate the best gas mileage.
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The table shows the speeds s (in feet per second) of sound in water at various temperatures t (in degrees Fahrenheit). Write a function that models the data. Use the model to approximate the speed of sound when the water temperature is 100°F.
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Area Problems
Scroll down for an example.
Set up an equation and solve for x.
Solution:
Exact answer:
Rounded answer:
x = 3.66
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Question 1
1.
Complete the statement with <, =, or >.
height of your throw _______ height of your friend’s throw
Question 2
2.
Explain your reasoning.
Question 3
3.
What is the horizontal distance when your friend's ball hits the ground?
The horizontal distance when my friend's ball 1st hits the ground is _______ feet.
Question 4
4.
Explain what the y-intercept represents.
Question 7
7.
The table shows the temperatures y (in degrees Fahrenheit) of a cup of tea after x minutes. Write a function that models the data.
Question 8
8.
The table shows the temperatures y (in degrees Fahrenheit) of a cup of tea after x minutes. Use the function from #7 to predict the temperature of the tea after 20 minutes.
Round to the nearest degree.
Question 9
9.
Explain your reasoning
Question 10
10.
Write a function that models the data.
Question 11
11.
Use the model to approximate the speed of sound when the water temperature is 100°F.
Question 12
12.
Set up an equation and solve for x.
Give the exact solution or round your answer to the nearest hundredths.
Question 13
13.
Set up an equation and solve for x.
Give the exact solution or round your answer to the nearest hundredths.