The growth of bacteria in a dish is modeled by the function ft-2t-3- For which value of t is ft -32-

The correct option is C 15 We have given, f(t)=32 , f(t)=2^t/3 ⇒ 2^t/3=32=2^5 ⇒t3=5 ⇒ t=3× 5=15 Hence, choice C is correct. ...

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Standard XII

Physics

Instantaneous Velocity

The growth of...

Question

The growth of bacteria in a dish is modeled by the function $f (t) = 2^{\frac{t}{3}}$ . For which value of $t$ is $f (t) = 32$ ?

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Solution

The correct option is C $15$
We have given, $f (t) = 32$ , $f (t) = 2^{\frac{t}{3}}$
$\Rightarrow 2^{\frac{t}{3}} = 32 = 2^{5}$
$\Rightarrow \frac{t}{3} = 5$
$\Rightarrow t = 3 \times 5 = 15$
Hence, choice C is correct.

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The growth of bacteria in a dish is modeled by the function f(t)=2t3. For which value of t is f(t)=32?

The correct option is C 15We have given, f(t)=32, f(t)=2t3⇒2t3=32=25⇒t3=5⇒t=3×5=15Hence, choice C is correct.

The growth of bacteria in a dish is modeled by the function $f (t) = 2^{\frac{t}{3}}$ . For which value of $t$ is $f (t) = 32$ ?

The correct option is C $15$
We have given, $f (t) = 32$ , $f (t) = 2^{\frac{t}{3}}$
$\Rightarrow 2^{\frac{t}{3}} = 32 = 2^{5}$
$\Rightarrow \frac{t}{3} = 5$
$\Rightarrow t = 3 \times 5 = 15$
Hence, choice C is correct.