One Fine Day You Take a Hike Up a Mountain $y=3\left(x^{3}-12 x^{2}+48 x+36\right)$

question 29

Multiple Choice

One fine day you take a hike up a mountain path.Using your trusty map you have determined that the path is approximately in the shape of the curve $y=3\left(x^{3}-12 x^{2}+48 x+36\right)$ .Here y is the elevation in feet above sea level and x is the horizontal distance in miles you have traveled, but your map only shows the path for 7 miles, horizontal distance.Which of the following is a good estimate of the elevation after 7.5 horizontal miles.(You do not know the shape of the path explicitly after 7 miles!)

• A)381 feet
• B)394.5 feet
• C)408 feet
• D)421.5 feet

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Definitions:

Differences

Refers to the variety and variability among people and objects, highlighting the distinct characteristics that make something or someone unique.

Poetry

A form of literature that uses aesthetic and often rhythmic qualities of language to evoke meanings in addition to, or in place of, the prosaic ostensible meaning.

Art Form

A medium of expression recognized by society, including but not limited to music, dance, painting, and sculpture.

Lorde

A reference likely to Audre Lorde, a Caribbean-American writer, radical feminist, womanist, lesbian, and civil rights activist known for her work on race, gender, and sexuality.