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The production cost for g graphing calculators is C(g) = 5g. Graph the function and then evaluate it when g = 5. What does the value of the function at g = 5 represent?

User Gianna
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Final answer:

The function C(g) = 5g represents the production cost for g graphing calculators. Graphing this function would show a straight line with a slope of 5. When g = 5, C(g) evaluates to $25, indicating the cost to produce 5 calculators.

Step-by-step explanation:

The question involves graphing a linear function and interpreting the value of the function for a specific number of graphing calculators produced. The function given is C(g) = 5g, which describes the production cost (C(g)) for g graphing calculators.

To graph this function, plot a point at (0, 0) since if no calculators are produced, the cost is $0. The slope of the line is 5, meaning for every additional calculator produced, the cost increases by $5. So, when you graph the function, it will be a straight line passing through the origin with a slope of 5.

When evaluating C(g) at g = 5, you substitute 5 for g in the function, which yields C(5) = 5*5 = $25. This means the production cost for 5 graphing calculators is $25. The value of the function C(g) at g = 5 represents the total production cost for producing five graphing calculators by the company. In a real-world scenario, this information helps the company understand their costs at different levels of production and helps in making pricing and production decisions.

User Codutie
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