Bunuel wrote:
An animal that dives into a pool of water is at a depth of x, in feet, after t seconds, where \(x = - 4(t - 2)^2 + 16\). At what depth, in feet, is the animal 0.5 seconds after it reaches its greatest depth?
A. 7
B. 12
C. 15
D. 16
E. 17
Given: An animal that dives into a pool of water is at a depth of x, in feet, after t seconds, where \(x = - 4(t - 2)^2 + 16\).
Asked: At what depth, in feet, is the animal 0.5 seconds after it reaches its greatest depth?
An animal that dives into a pool of water is at a depth of x, in feet, after t seconds, where \(x = - 4(t - 2)^2 + 16\).
x is max when t=2 deepest depth x = 16
At what depth, in feet, is the animal 0.5 seconds after it reaches its greatest depth
At t = 2+.5 =2.5
\(x= -4(.5)^2 +16 = 16 - 4*.25 = 16 -1 = 15\)
IMO C
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