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U4D12 Solving Real World Problems With Quadratics Mar26

Last updated 7 months ago
13 questions
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.
1
Complete the statement with <, =, or >.

height of your throw _______ height of your friend’s throw
1

Explain your reasoning.

1
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.
1

Explain what the y-intercept represents.

1

Long Division
Divide (x3 - 3x2 - 8x + 10) by (x - 1).
Write your answer in standard form.

1

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.



1

The table shows the temperatures y (in degrees Fahrenheit) of a cup of tea after x minutes. Write a function that models the data.

1

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.

1

Explain your reasoning

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.

1

Write a function that models the data.

1

Use the model to approximate the speed of sound when the water temperature is 100°F.

Area Problems

Scroll down for an example.
Set up an equation and solve for x.
Solution:

Exact answer:

Rounded answer:
x = 3.66
1

Set up an equation and solve for x.
Give the exact solution or round your answer to the nearest hundredths.

1

Set up an equation and solve for x.


Give the exact solution or round your answer to the nearest hundredths.