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Course: Algebra 2 > Unit 7

Lesson 1: Interpreting the rate of change of exponential models
Math
Algebra 2
Exponential models
Interpreting the rate of change of exponential models
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Interpret time in exponential models

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Problem

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom.
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:

L(t)=750⋅(53)t5.9

Complete the following sentence about the rate of change in the locust population.
The population of locusts gains 23 of its size every
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
days.