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To find the population, \( p \), of a town after \( t \) years is represented using the equation:

\[ p = 10000 (1.04)^{-t} \]

Which of the following is an equivalent expression?

A. \( p = 10000 \left(\frac{1}{25}\right)^t \)

B. \( p = 10000 \left(\frac{25}{26}\right)^t \)

C. \( p = 10000 \left(\frac{26}{25}\right)^t \)

D. \( p = 10000 \left(\frac{25}{1}\right)^t \)

Answer :

The equivalent expression is p=10000(26/25)t

What is expression ?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

An expression in mathematics is made up of a mixture of variables, numbers, and functions (such as addition, subtraction, multiplication or division etc.) In some ways, phrases and expressions are comparable.

Considering that the population, p, of a town after t years is represented using the equation p=10000(1.04)^-t

The equation is equivalent to

p=10000(26/25)t

26/25 = 1.04

Hence; p=10000(26/25)t

⇒ p=10000(1.04)^t

To learn more about expression from the given link

https://brainly.com/question/12165596

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