Annabel wants to make banana bread for the bake sale. She went to the markel to buy bananas, and she noticed fruit llies affer she returned home with her produce. The number of fruit fies grows at an exponential rate modeled by the equation \( f(t)=8(2)^{l} \), where \( f \) is the number of fruit flies after \( t \) days. Define an appropriate domain for the problem if Annabel bake the banana bread 5 days after returning from the market. (1 point) \( 0 \leq t \leq 5 \) \( 0

Ask by Welch Alexander. in the United States

Dec 05,2024

To define an appropriate domain for the problem, we need to consider the context of the fruit flies growing over time. Since Annabel bakes the banana bread 5 days after returning from the market, we can represent the time from when she brings the bananas home (day 0) up to the day she bakes (day 5). Therefore, the relevant domain for \( t \) would be \( 0 \leq t \leq 5 \). Now, focusing on the function modeling the fruit flies, at day 5, we can plug \( t = 5 \) into the equation \( f(t) = 8(2)^t \) to see how many fruit flies would be present. At day 5, \( f(5) = 8(2)^5 = 8(32) = 256 \) fruit flies! This just goes to show how quickly those pesky fruit flies can multiply in just a few days.