Question

A bacteria population is 10,000. It triples each day. Explain why the bacteria population, b, is a function of the number of days, d, since it was measured to be 10,000.

A) For any value of d, there is only 1 corresponding value of b.
B) For any value of b, there is only 1 corresponding value of d.
C) For any value of d, there is only 10,000 corresponding values of b.
D) For any value of b, there is only 10,000 corresponding values of b.
E) For any value of d, there is only 1 corresponding value of b.

Answer 1

The bacteria population, b, is a function of the number of days, d, since it was measured to be 10,000 because the bacteria population triples each day.

Step-by-step explanation:

The bacteria population, b, is a function of the number of days, d, since it was measured to be 10,000 because the bacteria population triples each day. This means that for each day that passes, the bacteria population will be three times larger than the previous day.

For example, on the first day, the population will be 10,000 x 3 = 30,000. On the second day, it will be 30,000 x 3 = 90,000. This pattern continues, with the population increasing in a constant ratio of 3.

Therefore, the bacteria population is a function of the number of days since it was measured because the population size can be calculated using a formula based on the number of days elapsed and the initial population size.