The Fundamentals of Functions Chapter 1 Symbols Function The

The Fundamentals of Functions Chapter 1 Symbols: Function: The buyer can sell gold to the smelter for $1,125 per ounce. Decide on the symbols you would use to construct a function that would calculate the value of the gold to the buyer and write the function. Symbols: Function: What variables are needed to calculate the buyer\'s profit? Decide on the symbols you would use to calculate the buyer\'s profit and write the function. Symbols: Function: 11. Suggest a practical domain and range for the gold-plated square charm scenario described in Example 1.3. Give the reasoning behind your choices. Practical Domain: Express this practical domain in interval notation: Reason for this choice of Practical Domain: Practical Range:

Solution

Let x be the number of onuce of gold.

If the buyer can sell gold to the smelter for $1125 per ounce, then the value of the gold to the buyer is $1125x

Symbols: x ounce of gold

Function: Sellling price, S(x)=1125x

If the cost price of the buyer is $ y per ounce then the profit of the buyer is given as

profit=selling price- cost price=1125x-yx

Symbols: x=number of ounce of gold, y=cost price per ounce

Function; Profit, P(x)=1125x-yx=x(1125-y)