Question

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consumingthese flowers rapidly increases as the trees blossom.The relationship between the elapsed time, t, in days, since the beginning of spring, and the total numberof locusts, L(t), is modeled by the following function:L(t) = 1200 *(1.65)^tComplete the following sentence about the daily percent change of the locust population.Every day,% of locusts areadded to subtracted fromthe locust population.

Answer 1

The given function describes the realtionship between the elapsed time, t, in days, since the beginning of spring, and the total number of locusts, L(t). This is an exponential growth function. It is usually written as

y = b(1 + r)^x

r represents the percentage growth

r is the result of dividing the percentage growth rate by 100

Therefore, looking at the function,

1.65 is the same as 1 + 0.65

The percentage growth rate is 0.65 * 100 = 65%

The % is 65%