Question
Mathias is growing a mold culture in a petri dish. After gathering data for several weeks, he determines the expression for the amount of mold spores in his culture on a certain day. The expression is shown.
2330 left-parenthesis 1.03 right-parenthesis Superscript t Baseline
Question
What does 1.03 in the expression represent?
Answer options with 5 options
A.
It is the starting amount of mold in the culture.
B.
It shows that the growth rate of the culture is 3%.
C.
It shows that the growth rate of the culture is 103%.
D.
It shows that the growth rate of the culture is 1.03%.
E.
It is the amount of mold in the culture at the end of the experiment.
2330 left-parenthesis 1.03 right-parenthesis Superscript t Baseline
Question
What does 1.03 in the expression represent?
Answer options with 5 options
A.
It is the starting amount of mold in the culture.
B.
It shows that the growth rate of the culture is 3%.
C.
It shows that the growth rate of the culture is 103%.
D.
It shows that the growth rate of the culture is 1.03%.
E.
It is the amount of mold in the culture at the end of the experiment.
Answers
GPT-4o mini
The expression for the amount of mold spores in the culture is given by:
\[ 2330 (1.03)^t \]
In this expression, the term \( 1.03 \) represents the growth factor of the culture. Specifically, it indicates how the amount of mold spores increases with each time unit (where \( t \) is the time in weeks, days, or whatever unit is appropriate).
To interpret this, we observe that:
- A growth factor of \( 1.03 \) means that for every unit of time (e.g., day or week), the amount of mold spores increases by 3%. This is because \( 1.03 \) can be broken down as \( 1 + 0.03 \), where \( 0.03 \) represents the 3% growth.
Based on this reasoning, the correct answer is:
**B. It shows that the growth rate of the culture is 3%.**
\[ 2330 (1.03)^t \]
In this expression, the term \( 1.03 \) represents the growth factor of the culture. Specifically, it indicates how the amount of mold spores increases with each time unit (where \( t \) is the time in weeks, days, or whatever unit is appropriate).
To interpret this, we observe that:
- A growth factor of \( 1.03 \) means that for every unit of time (e.g., day or week), the amount of mold spores increases by 3%. This is because \( 1.03 \) can be broken down as \( 1 + 0.03 \), where \( 0.03 \) represents the 3% growth.
Based on this reasoning, the correct answer is:
**B. It shows that the growth rate of the culture is 3%.**