Solve the Problem $f _ { 1 } ( x ) =$

question 42

Multiple Choice

Solve the problem.
-The following information pertains to a bakery which makes donuts.


Make a scatterplot of the data. Then graph the following four functions on the same coordinate system: $f _ { 1 } ( x ) =$ ? $f _ { 2 } ( x ) = 40 x + 1000 ; f _ { 3 } ( x ) = - x ^ { 2 } + 100 x ; f _ { 4 } ( x ) = - x ^ { 2 } + 80 x + 200$ . Which function best models the profit for $x$ cases of donuts?

• A) \(\mathrm { f } _ { 4 }\)
• B) \(\mathrm { f } _ { 1 }\)
• C) \(\mathrm { f } _ { 3 }\)
• D) \(\mathrm { f } _ { 2 }\) ;

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Definitions:

Economic Progress

The overall growth and development of an economy, often marked by an increase in wealth, improvements in the standard of living, and technological advancement.

Market Economy

A type of economic system where supply and demand from consumers primarily determine the production of goods and services.

High Earnings

A term typically referring to significantly above-average income or profits.

Automated Production

The use of technology and machinery to control production processes, reducing the need for human labor.