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The bacteria in an old piece of cheese is growing at a rate that can be modeled by y = 280 • 2^x. Determine which number represents the growth rate.

A.) 0.5

B.) 1

C.) 2

D.)280

Verified Answer :

JcAlmighty

The answer is C.) 2

The general form of formula is
y = a • r^x
y - the total number of bacteria after x period of time
a - the initial number of bacteria
r - growth rate
x - period of time

Let's compare:
y =    a   • r^x
y = 280 • 2^x

Since r = 2, the growth rate is C.) 2

Answer:

Option B is correct

A number 1 represents the growth rate.

Step-by-step explanation:

Using the exponential growth formula:

\(y=a(1+r)^x\)            .....[1]

where,

a is the initial amount

r is the growth rate

x is the number of years.

As per the statement:

The bacteria in an old piece of cheese is growing at a rate that can be modeled by

y = 280 • 2^x

We can write this equation as:

\(y = 280 \cdot(1+1)^x\)

On comparing with equation [1] we have;

1+1 = 1+r

Subtract 1 from both sides we have;

1 = r

or

r = 1

Therefore, the growth rate is, 1.

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