Find the Slope Then Describe What It Means in Terms $f ( x ) = - 8.8 x + 32$

question 253

Multiple Choice

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change
in the independent variable.
-The linear function $f ( x ) = - 8.8 x + 32$ models the percentage of people, $f ( x )$ , who eat at fast food restaurants each week x years after 1998 .

• A) \(\mathrm { m } = - 8.8\); the percentage of people eating at fast food restaurants each week has decreased at a rate of \(- 8.8 \%\) per year after 1998 .
• B) \(\mathrm { m } = 8.8\); the percentage of people eating at fast food restaurants each week has increased at a rate of \(- 8.8 \%\) per year after 1998 .
• C) \(\mathrm { m } = 32\); the percentage of people eating at fast food restaurants each week has increased at a rate of \(- 8.8 \%\) per year after 1998 .
• D) \(\mathrm { m } = 8.8\); the percentage of people eating at fast food restaurants each week has increased at a rate of \(8.8 \%\) per year after \(1998 .\)

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Definitions:

Marginal Cost

The boost in complete costs associated with creating one more unit of a product or service.

Private Good

A product that is excludable and rival in consumption, meaning its use is limited to the purchaser and it cannot be shared without diminishing availability to others.

Rivalry

Competition or contention between two or more parties for a goal that only one can attain.

Excludability

A characteristic of a good according to which it is possible to prevent people who have not paid for the good from consuming it.