Mathematics, 29.10.2019 09:31 heinslice3

Cameron’s bacteria population is modeled by an equation. deon models his bacteria population with a graph. cameron says that on day 14 , she will have more bacteria than deon.

is she right? why or why not?

Cameron’s bacteria population is modeled by an equation. deon models his bacteria population with a

Answers: 2

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Answer from: sandra5456

The answer is ⇒ No, because Deon starts with less bacteria,

but it grows at a faster rat than Cameron's bacteria

Step-by-step explanation:

* Lets study the graph and the equation

- At t = 0

# Cameron's population = 200

# Deon population = 100

- At t = 5

# From the equation b(5) = 200(1 + 0.08)^5 ≅ 294

# From the graph b(5) ≅ 200

∴ Cameron's population > Deon's population

- The increase of the Cameron's population ≅ 94

(294 - 200 = 94)

- The increase of the Deon's population ≅ 100

(200 - 100 = 100)

∴ The rat of increase of Deon > The rat of increase of Cameron

- At t = 8

# From the equation b(8) = 200(1 + 0.08)^8 ≅ 370

# From the graph b(8) ≅ 300

∴ Cameron's population > Deon's population

- The increase of the Cameron's population ≅ 76

(370 - 294 = 76)

- The increase of the Deon's population ≅ 100

(300 - 200 = 100)

∴ The rat of increase of Deon > The rat of increase of Cameron

- At t = 11

# From the equation b(11) = 200(1 + 0.08)^11 ≅ 466

# From the graph b(11) ≅ 500

∴ Cameron's population < Deon's population

- The increase of the Cameron's population ≅ 96

(466 - 370 = 96)

- The increase of the Deon's population ≅ 200

(500 - 300 = 200)

∴ The rat of increase of Deon > The rat of increase of Cameron

- At t = 14

# From the equation b(14) = 200(1 + 0.08)^14 ≅ 587

# From the graph b(14) ≅ 700

∴ Cameron's population < Deon's population

- The increase of the Cameron's population ≅ 121

(587 - 466 = 121)

- The increase of the Deon's population ≅ 200

(700 - 500 = 200)

∴ The rat of increase of Deon > The rat of increase of Cameron

* From all these calculations the rate of increase of

Cameron's population is less than the rate of increase

of Deon's population

∴ Cameron is not right because Deon starts with less bacteria,

but it grows at a faster rat than Cameron's bacteria

Answer from: Quest

( ͡° ͜ʖ ͡° ) copy and paste it

step-by-step explanation:

Answer from: Quest

ian gone lie this got me confused

step-by-step explanation:

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