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 locust population increases by a factor of 5 every 22 days, and can be modeled by a function, L, which depends on the amount of time, t (in days).
Before the first day of spring, there were 7600 locusts in the population.
Write a function that models the locust population t days since the first day of spring.
L(t) = left parenthesis, t, right parenthesis, equals

Step-by-step explanation:

-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:

Where:

-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5

-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.

Hence, the exponential growth function will be expressed as:

a) t'(-3, 6) and v'(0, 3)  

step-by-step explanation:

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step-by-step explanation:

i hope this : )