Write the Word or Phrase That Best Completes Each Statement $$y = \frac { 5 } { 2 } x ^ { 2 } + \frac { 5 } { 2 } x + 45$$

question 86

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
-A company has sales (measured in millions of dollars) of 50, 60, and 75 during the first three consecutive years. Find a quadratic function that fits these data, and use the result to predict the sales during the fourth year.
Assume that the quadratic function is of the form y = ax2 + bx + c

• A) \[y = \frac { 5 } { 2 } x ^ { 2 } + \frac { 5 } { 2 } x + 45\] 45; sales during the fourth year = $95 million
• B) \[y = - 5 x ^ { 2 } + 40 x + 15\] 15; sales during the fourth year = $95 million
• C) \[y = 5 x ^ { 2 } + 5 x + 40\] 40; sales during the fourth year = $180 million
• D) \[y = \frac { 15 } { 2 } x ^ { 2 } - \frac { 25 } { 2 } x + \frac { 325 } { 4 }\] ; sales during the fourth year = $151.25 million

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Definitions:

Symbolic

Relating to or characterized by symbols or symbolism, often representing something abstract in concrete form.

Analogical Representation

The mental depiction of one idea based on the structure or details of another, analogous situation.

Subway Map

A graphical representation designed to illustrate the routes and stations within a public metro or underground railway system.

Ball Sports

A category of sports that involve the use of a ball in play, including games like soccer, basketball, and tennis.