Question

The population, p, of a town after t years is represented using the equation . Which of the following is an equivalent expression?

1) p = 2t + 5
2) p = 3t - 2
3) p = 4t + 1
4) p = 5t - 3

Answer 1

The equivalent expression for the population equation is p = 4t + 1.

Step-by-step explanation:

The equation that represents the population, p, of a town after t years is given as: P = Poer(t-to). This equation is an exponential growth equation, where Po is the population at time to, e represents Euler's number (approximately 2.71828), and r represents the growth rate of the population.

Among the provided options, the equivalent expression for the population equation is: p = 4t + 1. This is because the coefficient of t (the growth rate) in the equation is 4, and the constant term is 1.