Question

Colby and jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. Jaquan starts with 80 of a different type of bacteria that doubles every 3 hours.

Let x equal number of days.

Colby’s experiment follows the model:
1) y=50*2^x
2) y=50*2^8x
3) y=50*2^12x

Jaquan’s experiment follows the model:
1) y=80*2x
2) y=80*2^8x
3) y=80*2^12x


20 POINTS*****

Answer 1

3) y = 50 * 2¹²ˣ

2) y = 80 * 2⁸ˣ

Explanation:

1 day = 24 hours

Number of 2-hour periods in 1 day = 24 ÷ 2 = 12

Number of 3-hour periods in 1 day = 24 ÷ 3 = 8

Colby's experiment:

y = 50 * 2¹²ˣ

Jaquan's experiment:

y = 80 * 2⁸ˣ