the count of bacteria in a certain experiment was increasing at the rate of 2% per hour find the bacteria at the end of 2 hours if the count was initially 500000
every hour multiply by 1.02
after 2 hours therefore multiply by 1.02^2
just multiply the start value by 1.02^2
To find the count of bacteria at the end of 2 hours, we need to calculate the growth using the given growth rate of 2% per hour. Here's how you can calculate it step by step:
Step 1: Start with the initial count of bacteria: 500,000.
Step 2: Calculate the growth rate per hour by multiplying the initial count by the growth rate as a decimal: 500,000 * (2/100) = 10,000.
Step 3: Calculate the growth after 1 hour by adding the growth rate to the initial count: 500,000 + 10,000 = 510,000.
Step 4: Calculate the growth after 2 hours by multiplying the growth after 1 hour by the growth rate: 510,000 * (2/100) = 10,200.
Step 5: Finally, calculate the count of bacteria at the end of 2 hours by adding the growth after 2 hours to the initial count: 500,000 + 10,200 = 510,200.
Therefore, at the end of 2 hours, the count of bacteria would be 510,200.