Solve the Problem $$a _ { n } = a n + b$$

question 36

Multiple Choice

Solve the problem.
-The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands) . (i) Use a graphing calculator to fit a linear sequence regression function
$$a _ { n } = a n + b$$
to the data, where $n$ is the cost of advertising (in thousands of dollars) and $a _ { n }$ is number of products sold (in thousands) . (ii) Use this function to estimate the number of products sold if the cost of advertising is $\$ 6000$ .

• A) (i) \(a _ { n } = 2.79 n + 55.8\);
• B) (i) \(a _ { n } = 5.79 n + 94.3\); (ii) \(72.54\) thousand products (ii) \(16,795.8\) products
• C) (i) \(a _ { n } = 3.02 n + 55.8\);
• D) (i) \(a _ { n } = 2.73 n + 34.8\); (ii) \(79.24\) thousand products (ii) \(69.54\) thousand products

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Definitions:

Reverse Stock Split

A corporate action that consolidates the number of existing shares of stock into fewer, proportionally more valuable shares.

Shares

Units of ownership interest in a corporation or financial asset, providing a proportionate claim on its assets and profits.

Stock Split

An action by a corporation where it splits its current shares into numerous shares, aiming to increase the shares' liquidity.

Stock Splits

A corporate action to increase the number of shares, thereby reducing the price per share without altering the company's market capitalization.