Annabel wants to make banana bread for the bake sale. She went to the market to buy bananas, and she noticed fruit flies after she returned home with her produce. The number of fruit flies grows at an exponential rate modeled by the equation f(t)=8(2)t

Question

, where f is the number of fruit flies after t days. Define an appropriate domain for the problem if Annabel bakes the banana bread 5 days after returning from the market.

0≤t≤256
0 less than or equal to t less than or equal to 256

0≤f≤256
0 less than or equal to f less than or equal to 256

0≤t≤5
0 less than or equal to t less than or equal to 5

0≤f≤5

Answer 1

In this problem, we are interested in the growth of the number of fruit flies over a period of time, specifically from the time Annabel returns home with the bananas until she bakes the banana bread, which takes place 5 days later.

The appropriate domain for \( t \) (the time in days) should represent the time interval from when Annabel returns home until she bakes the banana bread. Since she bakes the banana bread 5 days after returning, we can define \( t \) as follows:

\[ 0 \leq t \leq 5 \]

This means that \( t = 0 \) corresponds to the moment she returns home with the bananas, and \( t = 5 \) corresponds to the moment she bakes the banana bread.

Now let's analyze the options provided:

1. 0 ≤ t ≤ 256 - This is too broad since it includes times beyond when Annabel bakes the bread.

2. 0 < t ≤ 256 - This is still too broad and excludes the time \( t = 0 \).

3. 0 ≤ t ≤ 5 - This is the correct choice, as it captures the time from when she returns home to when she bakes.

4. 0 < f ≤ 256 - This talks about the number of fruit flies, which isn't defining the time properly.

The correct option for the domain regarding the time \( t \) when Annabel is considering the number of fruit flies is:

0 ≤ t ≤ 5.

Answer 2

if i fits, i sits, but if i dotn fits, do i still sit?

Answer 3

"If I fits, I sits" is a humorous saying often associated with cats, suggesting that if a cat can fit itself into a space, it will choose to sit there. The phrase implies a level of determination or instinctual behavior based on physical fit.

If "I don't fit," then the idea is that the object (in this case, a cat or anything else) may not be inclined to sit in that space at all. However, in a broader sense, "do I still sit?" can suggest that even if something doesn't physically fit in a situation or context, it might still find a way to be present or to "sit" in a metaphorical or different sense.

In summary, if something doesn't fit, it may not sit in the literal sense, but it could still occupy a space in a different way or adapt to its surroundings. It plays with the idea of adaptability and presence in unconventional circumstances.