The daily cost, C(x), for a company to produce x microscopes is given by the equation C(x) = 300 + 10.5x. What is the cost of producing 50 microscopes?

Rationale

The cost of producing 50 microscopes is $825.

To find the cost of producing 50 microscopes, we substitute x with 50 in the cost equation C(x) = 300 + 10.5x. This results in C(50) = 300 + 10.5(50) = 300 + 525 = 825.

A ($41,250) YOUR ANSWER

This choice results from a miscalculation, possibly assuming an incorrect equation or incorrect values for x. The daily cost calculation does not support such a high figure for producing 50 microscopes.

B ($360.50) YOUR ANSWER

This option is derived from a misunderstanding of the equation. It likely involves incorrect multiplication or addition, as substituting x=50 clearly leads to a higher total cost than this figure.

C ($15,525) YOUR ANSWER

This answer appears to result from an error in the multiplication of the variable x. The correct computation for 50 microscopes does not yield this value, indicating a significant miscalculation.

D ($825) CORRECT

This choice correctly follows the cost formula, where substituting x with 50 gives C(50) = 300 + 10.5(50) = 825. It accurately reflects the cost associated with producing 50 microscopes.

Conclusion

The correct calculation of the daily cost for producing 50 microscopes confirms that the total is $825, derived from the equation C(x) = 300 + 10.5x. Each incorrect choice reflects various calculation errors or misinterpretations of the equation, emphasizing the importance of careful substitution and arithmetic in solving for cost.

The daily cost, C(x), for a company to produce x microscopes is given by the equation C(x) = 300 + 10.5x. What is the cost of producing 50 microscopes?

The cost of producing 50 microscopes is $825.

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