Answer:
The population of locusts gains 47% of its size every 4.8 days.
Explanation:
Just for better understanding, deleting the typos and arranging the garbled function, the text is:
The relationship between the elapsed time t, in days, since the beginning of spring, and the number of locusts, L(t), is modeled by the following function:
[tex]L(t)=990(1.47)^{t/4.8}[/tex]
Analyze each part of the function:
- L(t) is the number of locusts (given)
- 990 is the initial value of the function, when t = 0 because, when t = 0 (1.47)⁰ = 1 and L(0) = 990.
- 1.47 is the growing factor: 1.47 = 1 + 0.47 = 1 + 47%. Thus, the growing factor is 47%.
- t is the the elapsed time in days (given): number of days since the spring began.
- The power, t/4.8, is the number of times the growing factor is applied to (mulitplied by) the initial number of locusts. If the number of days is 4.8 then t/4.8 = 4.8/4.8 = 1, meaning that the polulations of locusts grows 47% every 4.8 days.
