Question

A perti dish is filled with 350 bacterial cultures. The number of bacteria in the dish triples every hour. Represent the number of bacterial cultures in the dish for the first 5 hours as a numeric sequence.

Answer 1

The numeric sequence representing the number of bacterial cultures that triples every hour for the first 5 hours is 350, 1050, 3150, 9450, 28350, and 85050.

Step-by-step explanation:

To represent the number of bacterial cultures in a petri dish that triples every hour for the first 5 hours as a numeric sequence, we start with 350 bacterial cultures at hour 0. We then calculate the number of cultures for each subsequent hour by tripling the previous hour's figure.

1. Hour 0 (initial count): 350 bacterial cultures
2. Hour 1: 350 × 3 = 1050 bacterial cultures
3. Hour 2: 1050 × 3 = 3150 bacterial cultures
4. Hour 3: 3150 × 3 = 9450 bacterial cultures
5. Hour 4: 9450 × 3 = 28350 bacterial cultures
6. Hour 5: 28350 × 3 = 85050 bacterial cultures

The numeric sequence representing the number of bacterial cultures for the first 5 hours is:

350, 1050, 3150, 9450, 28350, and 85050.