Answer:
D.) [tex]y = 6(3^{x} )[/tex] ; 486 strands
Step-by-step explanation:
To easily paint the situation, you can just plug in some small numbers such as 1, 2, and 3.
After 1 hour, it would be tripled the amount of bacteria, meaning 6 * 3 = 18 strands of bacteria.
After 2 hours, it would be 18 tripled, meaning 18 * 3, which is simple 6 * 3 * 3 = 54 strands of bacteria.
After 3 hours, it would be 54 tripled, meaning 54 * 3, which is 6 * 3 * 3 * 3 = 162 strands of bacteria.
Now you can see there is a pattern which is the number of 3s being multiplied to the original amount, 6. As you can see, a 3 is being added after each hour, which can be represented as 3^x.
You get the equation y = 6 * (3^x).
Answer:
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
Step-by-step explanation:
