A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t2−12t+27
Rewrite the formula in factored form and select each true statement below.

The swimmer dives into the water 3 seconds after the timer was started.

The swimmer comes back up 9 seconds after the timer was started.

The swimmer is underwater for 12 seconds.

The swimmer dives into the water 12 seconds after the timer was started.

The swimmer dives to a maximum depth of 27 feet.

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abiolataiwo2015 abiolataiwo2015 · Answer 1 · 2022-06-09T19:29:20+02:00

The correct true statement is: b. The swimmer comes back up 9 seconds after the timer was started.

Given:

h(t)=t^2−12t+27

Let velocity of the function= 0

h(t) = 2t - 12

0 = 2t - 12

2t = 12

Divide both side by 2t

t=12/2

t = 6secs

Substitution

h(6) = 6²-12(6)+27

h(6) = 36 - 72 + 27

h(6) = -36 + 27

h(6) = -9 feet

The correct statement is b.

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