Exponential and Logarithmic Equations Quiz

The population of a town can modeled by the equation $$f\left(t\right)\ =\ 40\cdot e^{\left(0.014t\right)}$$ , where the population is measured in thousands and time is measured in years since 1980. What was the population in 1980?

The population of a town is growing exponentially and can be modeled by the equation $$f\left(t\right)\ =\ 40\cdot e^{\left(0.014t\right)}$$ . The population is measured in thousands, and time is measured in years since 1980. What is the approximate percent increase in the population each year?

Change the logarithmic equation to an exponential equation: ln x = 4

Change the logarithmic equation to an exponential equation: ln 40 = r

Change the exponential equation to a logarithmic equation: $$e^{3\ }=\ 20.086$$

Change the exponential equation to a logarithmic equation: $$e^0=1$$

The equation $$p\left(t\right)=192\cdot e^{\left(0.014t\right)}$$ models the population, in millions, in the U.S. t years after 1964. Use the graph below to help you answer the following questions. What does the model predict for the population of the U.S. in 1989?

The equation $$p\left(t\right)=192\cdot e^{\left(0.014t\right)}$$ models the population, in millions, in the U.S. t years after 1964. Use the graph below to help you answer the following questions. In which year does the model predict the population will reach 400 million?