U4D12 Solving Real World Problems With Quadratics Mar26

Last updated 9 months ago

13 questions

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

U4D12 Solving Real World Problems With Quadratics Mar26

Last updated 9 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. 

Complete the statement with <, =, or >. 

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

Explain your reasoning.

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.

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

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.

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

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.

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.

Write a function that models the data.

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

U4D12 Solving Real World Problems With Quadratics Mar26

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

U4D12 Solving Real World Problems With Quadratics Mar26

Explain your reasoning.

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

Long Division
Divide (3x3 + 8x2 + 8x - 25) by (3x - 4).
Write your answer in standard form.

Quadratic Regression - Using Technology to Help

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

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.

Write a function that models the data.

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

Area Problems

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

Set up an equation and solve for x.

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

Explain your reasoning.

Explain what the y-intercept represents.

Long Division
Divide (3x3 + 8x2 + 8x - 25) by (3x - 4).
Write your answer in standard form.

Quadratic Regression - Using Technology to Help

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

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.

Explain your reasoning

Write a function that models the data.

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

Area Problems

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

Set up an equation and solve for x.

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

Explain what the y-intercept represents.

Explain your reasoning

U4D12 Solving Real World Problems With Quadratics Mar26

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

U4D12 Solving Real World Problems With Quadratics Mar26

Explain your reasoning.

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

Long DivisionDivide (3x3 + 8x2 + 8x - 25) by (3x - 4).Write your answer in standard form.

Quadratic Regression - Using Technology to Help

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

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.

Write a function that models the data.

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

Area Problems

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

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

Explain your reasoning.

Explain what the y-intercept represents.

Long DivisionDivide (3x3 + 8x2 + 8x - 25) by (3x - 4).Write your answer in standard form.

Quadratic Regression - Using Technology to Help

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

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.

Explain your reasoning

Write a function that models the data.

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

Area Problems

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

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

Explain what the y-intercept represents.

Explain your reasoning

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

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

Long Division
Divide (3x3 + 8x2 + 8x - 25) by (3x - 4).
Write your answer in standard form.

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.

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

Set up an equation and solve for x.

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

Long Division
Divide (3x3 + 8x2 + 8x - 25) by (3x - 4).
Write your answer in standard form.

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.

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

Set up an equation and solve for x.

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