The cost, in millions of dollars, of building a three-story high school in New York State was estimated to be

*C*(*x*) = 2.2 + 0.13*x* −
0.0001*x*^{2} (20 ≤ *x* ≤
400)

where *x* is the number of thousands of square feet.
Suppose that you are contemplating building a for-profit
three-story high school and estimate that your total revenue will
be $0.17 million dollars per thousand square feet. What is the
profit function (in millions of dollars)?

*P*(*x*) =

What size school should you build to break even? (Round your answer
to three decimal places.)

thousand ft^{2}

2, Find a linear equation whose graph is the straight line with the given properties. HINT [See Example 2.]

Through

(20, −9.2)

and increasing at a rate of 7 units of *y* per unit of
*x*.

y(x) = |

The following table shows worldwide sales of a certain type of cell phone and their average selling prices in 2012 and 2013.

Year | 2012 | 2013 |
---|---|---|

Selling Price ($) | 385 | 315 |

Sales (millions) | 827 | 1,219 |

(a) Use the data to obtain a linear demand function for this
type of cell phone. (Let *p* be the price, and let
*q* be the demand).

q(p) = |

3, Use your demand equation to predict sales if the price is
lowered to $285.

million phones

(b) Fill in the blank.

For every $1 increase in price, sales of this type of cell phone decrease by million units.

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