High School

A population grows according to an exponential growth model. The initial population is 220, and the population after one year is 276. Complete the formula where \( p \) is the population and \( n \) is the number of years:

A. \( p = 220 \times e^{0.253n} \)
B. \( p = 220 \times e^{0.235n} \)
C. \( p = 220 \times e^{0.025n} \)
D. \( p = 220 \times e^{0.0025n} \)

Answer :

Final answer:

The correct formula for the exponential growth model is p = 220 * e^(0.253n)

Explanation:

The population grows according to an exponential growth model given by the formula:

p = 220 * e^(0.253n)

where p is the population and n is the number of years. Given that the initial population is 220 and the population after one year is 276, we can substitute these values into the equation:

p = 220 * e^(0.253*1) = 220 * e^(0.253) ≈ 276

Therefore, the correct formula is p = 220 * e^(0.253n).

Learn more about Exponential growth here:

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