Area Model Quadratic

What type of function can model the story below? Mary is building a rectangular patio that is twice as long as it is wide.

• Linear because this has a constant rate of change.

• Exponential because this grows at a constant percent rate

• Quadratic because this is an area model

If the quadratic has THREE TERMS, what step is next?

• Factor using Area Model and X, if possible.

• Ask: Is it a Difference of Two Squares?

• The work is done.

• Write the area as a sum.

Write the area as a product?

Write the area as a sum?

A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function. Which function best models the data?

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function. Which function best models the data?

TEK A.8 (B)

• d(x) = 0.05x² + 0.74x

• d(x) = 0.05x² + 0.74x + 9.17

• d(x) = 0.26x² – 3.11x

• d(x) = 0.26x² – 3.11x + 1