SAT Math · Linear functions · medium
Company A charges a flat fee of 60 plus 2 per unit produced. Company B charges a flat fee of 20 plus 4 per unit produced. At how many…
Company A charges a flat fee of $60 plus $2 per unit produced. Company B charges a flat fee of $20 plus $4 per unit produced. At how many units do the two companies charge the same total amount?
Answer and explanation
Answer: D: 20
Write each company's total cost for units: Company A is and Company B is . The costs match when . Subtract and 20 from both sides: , so , choice D. Check: A charges and B charges . Choice A (15) and choice C (10) give different totals. Choice B (40) is the difference in flat fees, which is a value on the way to the answer, not the final step. Divide by the difference in per-unit rates.
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