Enrollment in a school district is currently 1250 students and is decreasing at approximately 3% per year. Enter the number of years it will take the school district enrollment to reach 1000 students. Round your answer to the nearest tenth. Years

the number of years is 7.3 years

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^ t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 1250

A = 1000

r = 3% = 3/100 = 0.03,

Therefore

1000 = 1250(1 - 0.03)^t

1000/1250 = (0.97)^t

0.8 = 0.97^t

Taking log of both sides, it becomes

Log 0.8 = tLog 0.97

- 0.0969 = - 0.0132t

t = - 0.0969/- 0.0132t

t = 7.3 years

a negative exponent is translated as follows:

so, we have

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step-by-step explanation: