Question

Jason placed 6 strands of bacteria in a petri dish. The bacteria strands triple every hour. Write a formula to represent how many bacteria strands are present at the nth hour. Then use the formula to determine how many strands are present at 4 hours.

Question 4 options:

A)

y = 6(3)n; 486

B)

y = 3(6)n; 3,888

C)

y = 6(n)3; 384

D)

y = 6(3)(n); 72

Answer 1

Bacteria = 6 * 3^hours

After 0 hours #Bacteria = 6 * 3^0 = 6

1 hour = 6 * 3^1 = 18

2 hours = 6 * 3^2 = 54

3 hours = 6 * 3^3 = 162

4 hours = 6 * 3^4 = 486

Answer is A)

Actually that formula should read:

y = 6 * 3 ^n

where 'n' is the number of hours

Explanation: