Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols.
-The total cost of producing refrigerators in one production line is $3,600 plus $270 per unit produced.
A)If C is the total cost and x is the number of units produced, then C = 3,600 + 270x.
B)If C is the total cost and x is the number of units produced, then C = 3,600x + 270.
C)If C is the total cost and x is the number of units produced, then C = (3,600 + 270)x.
D)If C is the total cost and x is the number of units produced, then

Question

Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols.
-The total cost of producing refrigerators in one production line is $3,600 plus $270 per unit produced.
A)If C is the total cost and x is the number of units produced, then C = 3,600 + 270x. 
B)If C is the total cost and x is the number of units produced, then C = 3,600x + 270. 
C)If C is the total cost and x is the number of units produced, then C = (3,600 + 270)x. 
D)If C is the total cost and x is the number of units produced, then

Quizplus · Accepted Answer

The equation should start with the total cost (C) equals a fixed cost ($3,600) plus a variable cost (270x) for each unit produced. Therefore, the correct equation is C = 3,600 + 270x. Option B is incorrect because it implies that the fixed cost is multiplied by the number of units produced (3,600x), which is not the case. Option C is incorrect because it mistakenly puts the addition inside the parentheses, changing the meaning of the equation. Option D is invalid because it is not a complete equation. The equation needs to represent the total cost (C) as a function of the number of units produced (x), which means multiplying the per-unit cost by the number of units produced and adding the fixed cost. Therefore, the correct equation is C = 3,600 + 270x.

Translate the Sentence into a Mathematical Equation