For a certain type of rope, the equation \(y = 900ax^2\), where \(a\)…

Question

Prompt

For a certain type of rope, the equation

y = 900 a x^{2}

, where

a

is a constant, gives the estimated breaking strength

y

, in pounds, of a rope with a circumference of

x

inches. Based on this equation, if a rope of this type has a circumference of

2.75

inches, it has an estimated breaking strength of

9, 528.75

pounds. What is the estimated breaking strength, in pounds, of a rope of this type that has a circumference of

8.50

inches?