Algebra 2: Exponential Growth in Bacteria

What is the initial number of bacteria in the culture?

• 200

• 100

• 50

• 400

How often does the number of bacteria double?

• Every 20 hours

• Every 40 hours

• Every 10 hours

• Every 30 hours

What is the pattern of bacteria growth after 60 hours?

• 100, 300, 600

• 100, 200, 400

• 100, 400, 800

• 100, 200, 300

In the formula y = a * r^x, what does 'a' represent?

• The initial value

• The final value

• The growth rate

• The time period

What is the common ratio 'r' in the bacteria growth equation?

• 4

• 3

• 2

• 1

How is the time 't' represented in the exponential equation for this problem?

• t

• t/10

• t/20

• t/30

What is the equation for the number of bacteria after 't' hours?

• b(t) = 100 * 2^(t/20)

• b(t) = 100 * 2^(t/40)

• b(t) = 100 * 2^(t/10)

• b(t) = 100 * 2^(t/30)

How many times does the bacteria double in 90 hours?

• 2 times

• 3 times

• 4 times

• 5 times

What is the number of bacteria after 90 hours?

• 200

• 400

• 600

• 800

What is the purpose of dividing 't' by 30 in the equation?

• To adjust the time scale

• To find the initial value

• To determine the growth rate

• To calculate the number of doubling periods