Question

Scientists are conducting an experiment involving growing cells in a liquid culture. On day 0, there were 1,000 cells in the culture. On day 4, there were 64,000 cells in the culture. Assuming the

number of cells is growing at an exponential rate, how many cells will be in the culture on day 8?

Answer 1

The number of cells in the culture on day 8 will be 4,096.

Step-by-step explanation:

The number of cells in the culture is growing exponentially, and can be expressed as 2n, where n is the number of generations. Given that the number of cells on day 0 is 1,000 and on day 4 is 64,000, we can calculate the value of n. By solving the equation 2n = 64,000, we find that n = 6. So, the number of cells on day 8 can be calculated as 26 = 64 * 64, which is equal to 4,096 cells.