6
practice testMultiple Choice

Practice Test

Question 6 • Algebra: Concepts and Connections

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2⁢x3+30⁢x−130. The cost, in dollars, of producing the skateboards can be modeled by 2⁢x3−3⁢x−520. The variable x represents the number of skateboards sold. What expression represents the profit? (Updated)

Answer
A
27 x minus 650
B
33 x plus 390
C
27 x plus 390
D
33 x minus 650

Explanation

Profit equals revenue minus cost. Subtract the cost polynomial from the revenue polynomial: (2x³ + 30x − 130) − (2x³ − 3x − 520). The cubic terms cancel, and the remaining terms give 30x + 3x = 33x and −130 + 520 = 390, so the profit is 33x + 390, choice B.

AI-written and checked against the verified answer.

Previous
Next