25
QuizMultiple Choice

Radical Functions — Test

Question 25 • Algebra II

The orbital period, cap p , of a planet and the planet’s distance from the sun, A , in astronomical units is related by the formula cap p is equal to A raised to the 3 halves power If Saturn’s orbital period is 29 point 5 years, what is its distance from the sun?

Answer
A
9 point 5 AU
B
44 point 3 AU
C
19 point 7 AU
D
160 point 2 AU

Explanation

Use the formula p = A^(3/2) and solve for A by raising both sides to the power 2/3: A = p^(2/3). With p = 29.5, A = 29.5^(2/3) ≈ 9.5 AU. Therefore, Saturn’s distance is 9.5 AU, choice C.

AI-written and checked against the verified answer.