Veronica_Oles said:In 2003 the city of spring field had a population of 250000 the population is expected to double by 2025, how many people in 2015?
Probably not too useful in the precalculus Forum.drvrm said:The rate of growth can be calculated by the given data and then the population after a time span can be found if the rate is taken as steady/uniform.
PR = N(T2)- N(T1)/ (T2-T1) = dN/dT
Veronica_Oles said:Homework Statement
In 2003 the city of spring field had a population of 250000 the population is expected to double by 2025, how many people in 2015?
The Attempt at a Solution
A=Pb^t
The initial is 250000 and b is 2 because it doubles however I am unsure of what the exponent is I've tried but I can't get it. Also don't you have to put 500000 in A because we already know the final amount? Help is appreciated thanks.
An exponential function is a mathematical function of the form f(x) = ab^x, where a and b are constants and x is the variable. It is characterized by a rapid increase or decrease in value as the variable increases or decreases.
The key features of an exponential function include a constant base (b), a variable exponent (x), and a horizontal asymptote. The function increases or decreases rapidly as x increases or decreases, and the y-intercept is always at (0, a), where a is the constant.
To graph an exponential function, you can create a table of values by choosing different values for x and plugging them into the function. Then, plot the points on a coordinate plane and connect them with a smooth curve. Alternatively, you can use the key features of an exponential function to graph it, such as the y-intercept and the direction and steepness of the curve.
Exponential growth occurs when the base (b) of the exponential function is greater than 1, resulting in a curve that increases rapidly as x increases. Exponential decay occurs when the base (b) is between 0 and 1, resulting in a curve that decreases rapidly as x increases.
Exponential functions can be used to model many real-life situations, such as population growth, compound interest, and radioactive decay. They are also used in fields such as economics, biology, and physics to analyze and predict various phenomena.