Question

A scientist is growing bacteria, starting with a culture of 10 bacteria. The colony of bacteria doubles every 3 hours. Which equation represents the relationship between the number of bacteria (b) and the number of hours (t) that have elapsed?
A) B= 10(2)^t
B) B= 10(2)^t/3
C) B= 10(2)^3t
D) B= 10(e)^2t
E) B= log₂(t)

Answer 1

Answer:

B) B=10(2)^(t/3)

Step-by-step explanation:

The Formula used to find Exponential Growth is

$y=a*b^{\frac{t}{t_{1} } }$

where y is the Final Amount

a is the Initial Amount

b is the Growth Factor

t is Time

t1 is Time to Complete one Growth

so for our Problem

a=10 and b=2 and t1=3 and y=B

so B=10(2)^(t/3)

Answer 2

• Initial amount of bacteria=10
• Doubles in every 3 hours
• Means time is t/3

So

The expression is

$\\ \rm\rightarrowtail B=10(2)^{\frac{t}{3}}$

Option B is correct