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:
A. y = 50*2x
B. y = 50*2^8x
C. y = 50*2^12x
Jaquan's experiment follows the model:
A. y = 80*2^x
B. y = 80*2^8x
C. y = 80*2^12x
Let x equal number of days.
Colby's experiment follows the model:
A. y = 50*2x
B. y = 50*2^8x
C. y = 50*2^12x
Jaquan's experiment follows the model:
A. y = 80*2^x
B. y = 80*2^8x
C. y = 80*2^12x
Answers
GPT 3.5
For Colby's experiment, the correct model would be:
B. y = 50*2^8x
For Jaquan's experiment, the correct model would be:
C. y = 80*2^12x
In both cases, the number of bacteria doubles every x hours, so we use the exponent of 2 raised to the power of x (number of hours) to represent that exponential growth. The specific number of bacteria at the beginning (50 for Colby and 80 for Jaquan) is multiplied by the exponential growth factor.
B. y = 50*2^8x
For Jaquan's experiment, the correct model would be:
C. y = 80*2^12x
In both cases, the number of bacteria doubles every x hours, so we use the exponent of 2 raised to the power of x (number of hours) to represent that exponential growth. The specific number of bacteria at the beginning (50 for Colby and 80 for Jaquan) is multiplied by the exponential growth factor.