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PLZZ HELP ME A city with a population of 426,000 is forced to evacuate due to a natural disaster. The damage from the disaster caused many residents to move away, and the population decreased exponentially by 26% a year after the disaster.

If the population continues to decrease at this rate for t years, write the expression that reveals the monthly rate of decrease for the population in the form (b)c. Round any decimals to the nearest thousandth.

PLZZ HELP ME A city with a population of 426000 is forced to evacuate due to a natural disaster The damage from the disaster caused many residents to move away class=

Respuesta :

carlosego
For this case we have an equation of the form:
 y = A * (b) ^ c
 Where,
 A: is the initial number of people
 (b) ^ c: monthly rate of people
 The expression for the monthly rate of people is given by:
 (b) ^ c = (1 - 26/100) ^ ((1/12) * t)
 Where,
 t: is the number of months
 Rewriting:
 (1 - 0.26) ^ ((1/12) * t)
 (0.74) ^ ((1/12) * t)
 Answer:
 (0.74) ^ ((1/12) * t)

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