# Value of t for a germ population to double its original value

Date of Exam

Subject

**Problem**

A germ population has a growth curve $Ae^{0.4t}$. At what value of $t$ does its original value doubled?

A. t = 7.13 |
C. t = 1.73 |

B. t = 1.37 |
D. t = 3.71 |

**Answer Key**

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[ C ]

**Solution**

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$P = Ae^{0.4t}$

Initial population is when *t* = 0

$P_o = Ae^{0.4(0)} = A$

Time *t* when *P* = 2*P _{o}*

$2A = Ae^{0.4t}$

$t = 1.73$ ← *answer*

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