Question

The formula A=23.1 е⁰⁰¹⁵²⁺ models the pollution of US state, a, in millions ,t years after 2000.

Answer 1

The population of the state in 2000 was 23.1 million and the population will be 28.3 million after 13.4 years.

What is an exponential function?

The definition of an exponential function is given by the equation

y = aeᵇˣ, where bx is an exponent.

The given equation is $A = 23.1e^{0.0152t}$.

To find the population of the state in 2000, substitute t = 0 in the given equation:

$A =23.1e^{0.0152(0)}\\\\A = 23.1$

Now, Substitute A = 28.3 into the given equation and solve for t:
$28.3=23.1e^{0.0152t}\\\\e^{0.0152t}=1.2251\\\\0.0152t=\ln(1.2251)\\\\0.0152t=0.2030\\\\t=13.4$

Hence, the population of the state in 2000 was 23.1 million and the population will be 28.3 million after 13.4 years.

Learn more about the exponential functions:

brainly.com/question/14355665

#SPJ1