Solve the problem.
-y varies directly as the square of z and y = 448 when z = 8. Find y when z is 5.
A) 56
B) 40
C) 175
D) 280

Question

Quizplus · Accepted Answer

Since y varies directly as the square of z, we can write the equation y = k*z^2, where k is the constant of variation. Given y = 448 when z = 8, we can find k by substituting these values into the equation: 448 = k*8^2, which simplifies to 448 = 64k. Solving for k gives k = 7. To find y when z = 5, substitute z = 5 and k = 7 into the original equation: y = 7*5^2 = 7*25 = 175.

Solve the Problem. -Y Varies Directly as the Square of Z and Y