Question

The number of bacteria in a petri dish is 50,000 (on day 0) if the amount is doubling each day by when will the number of bacteria be 400,000. Let x represent the number of days and f(x) represent the amount of bacteria. Write an equation.

Answer 1

• f(x) = 50000*2^x
• 3 days

Explanation:

Given:

• Initial amount of bacteria = 50000
• Growth rate = 2 times a day

Required equation:

• f(x) = 50000*2^x

Solve for x:

• 400000 = 50000*2^x
• 2^x = 400000/50000
• 2^x = 8
• 2^x = 2^3
• x = 3

After 3 days bacteria numbers will reach 400000