If the volume of the prism is represented by 15 x squared plus x plus 2 and the height is x squared , which expression represents cap b , the area of the base?
Answer
A
15 x plus 1 over x plus the fraction with numerator 2 and denominator x squared
B
15 plus 1 over x plus the fraction with numerator 2 and denominator x squared
C
15 x plus 1 over x plus the fraction with numerator x squared and denominator 2
D
15 plus 1 over x plus the fraction with numerator x squared and denominator 2
Explanation
For a prism, volume equals base area times height, so divide the volume by the height to find the base area: (15x² + x + 2) ÷ x². Dividing each term by x² gives 15 + 1/x + 2/x², which matches choice B.
AI-written and checked against the verified answer.