Theme: Exponential Function...

Terri’s teacher gives her the equation 3(5)^x=127-2x, and tells her that she will not know how to solve it algebraically. Explain how Terri could use a graph to solve the equation. Find the value of x to the nearest tenth.

Yolanda owns 4 rabbits. She expects the number of rabbits to double every year. Write an equation to model this situation.

Can anyone solve this: The exponential function f(x) = 9204e^0.022x models the number of hits logged by a website each year where x is the years after 2000. Project the number of hits that will be logged by the website in 2020.

The population of a city in 2005 was 18,000. By 2010, the city’s population had grown to 45,000. Economists have determined that the population growth follows an exponential model. If they are correct, what is the projected population for 2015?

A math teacher gets a starting salary of $30,000. IF she gets a 1.5% increase in salary each year, what will her total income be over a thirty year period? This was a past mathlete problem. I know we have to use an exponential function, but do I have to use the base e? Or should I just do a base of 1.015?

Which exponential function goes through the points (1,8) and (4,64)? A) f(x)=4(2)^x B) f(x)=2(4)^x C) f(x)=4(2)^-x D) f(x)=2(4)-x