The function S(t) gives the average annual sea level in meters in a particular city as a function of t, the number of years before 2007. Express each of the following in mathematical symbols. (a) The average annual sea level in meters in this city in 2007. S(2007) X (b) In 1988 the average annual sea level in meters in this city was 7.4. S(-19) = 7.4 X (c) The average annual sea level in meters in this city was the same in 1987 and 2003. |S(20 - 4) = 0 x

Throughout much of the 20th century, the yearly consumption of electricity in the US increased exponentially at a continuous rate of 7% per year. Assume this trend continues and that the electrical energy consumed in 1900 was 1.5 million megawatt-hours. (a) Write an expression for yearly electricity consumption, E, as a function of time, t, in years since 1900. million megawatt-hours (b) Find the average yearly electrical consumption throughout the 20th century. NOTE: Round your answer to the nearest integer. E(t) = million megawatt-hours (c) During what year was electrical consumption closest to the average for the century? NOTE: Round your answer to the nearest integer. During Average Yearly Consumption =

A certain city's population has been in decline since 2010, at which time its population was 100,000.   If the population has been decreasing by 4200 people every year, write a function to model the situation with t being the number of years since 2010.

An exponential function f(x)=a⋅bx passes through the points (0, 11) and (2, 275). What are the values of a and b?