The relationship between the amount of money x that Cannon Precision Instruments spends on advertising and the company's total sales S(x) is given by the following function where x is measured in thousands of dollars.   S(x) = −0.002x3 + 0.7x2 + 5x + 500      (0 ≤ x ≤ 200)   Find S '(x), the rate of change of the sales with respect to the amount of money spent on advertising.   At what rate (in dollars per thousand dollars of advertising) are Cannon's total sales increasing when the amount of money spent on advertising is $110,000?   At what rate (in dollars per thousand dollars of advertising) are Cannon's total sales increasing when the amount of money spent on advertising is $160,000?

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Exponential Growth Model

The relation that represents an exponential function is: