Question

These equations represent the number of bacteria in four different dishes as a function of time, t, in days. Which equation represents the population with the greatest growth factor (also called common factor)?

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Answer 1

The growth factor:

⇒ is the base in the exponent:

⇒ the larger it is ⇒ the greater the growth factor is!

Let's Analyze our choices:

• c(t)'s growth factor: 5/2
• a(t)'s growth factor: 5/6
• d(t)'s growth factor: 3
• b(t)'s growth factor: 1/50

The greatest growth factor is 3

Answer: d(t)

Hope that helps!