Answer:
(a) no
(b) yes
(c) y = 900/x^2
(d) 400
(e) about 9.49 m
Step-by-step explanation:
(a) When x and y are inversely proportional, their product is a constant.
1·900 ≠ 2·225, so x and y are not inversely proportional
(b) When x^2 and y are inversely proportional, their product is a constant.
1^2·900 = 2^2·225 = 3^2·100, so x^2 and y are inversely proportional
(c) The result from (b) tells you
x^2·y = 900
or
y = 900/x^2
(d) For x=1.5
y = 900/1.5^2 = 900/2.25 = 400
(e) For y = 10
10 = 900/x^2
x^2 = 900/10 . . . . multiply by x^2/10
x = √90 ≈ 9.49 . . . meters
