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## Algebra 2

### Unit 7: Lesson 1

Interpreting the rate of change of exponential models

# Interpret time in exponential models

You might need: Calculator

## 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, left parenthesis, t, right parenthesis, is modeled by the following function:

### $L(t)=750\cdot \left(\dfrac{5}{3}\right)\^{\Large \frac {t}{5.9}}$

Complete the following sentence about the rate of change in the locust population.
The population of locusts gains start fraction, 2, divided by, 3, end fraction of its size every
days.
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