The population of a city can be modeled with a linear equation, y = –80x + 3,450, where x is the number of years after 2000 and y is the city’s population. write a description of the city’s population based on the equation.

Shane and abha earned a team badge that required their team to collect no less than 2000 cans for recycling. abha collected 178 more cans than shane did. write an inequality to determine the number of cans, s, that shane could have collected.

Part a: explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 8x+4 intersect are the solutions of the equation 2−x = 8x+4. (4 points) part b: make tables to find the solution to 2−x = 8x+4. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 2−x = 8x+4 graphically? (2 points)

For problems 7–10, state a reasonable domain for the problem statement, find the inverse function f –1(x), and identify the independent and dependent quantities of the inverse. 7. gary is jogging. the total distance he has traveled, in miles, can be estimated using the function f(x) = 9x, where x is his jogging time in hours. 8. camryn sells computers. she earns commission for her computer sales plus a fixed wage for each day she works. her daily earnings, in dollars, can be estimated using the function f(x) = 0.15x + 50, where x represents her computer sales in dollars. 9. the distance a motorboat travels, in meters, can be estimated using the equation f(x) = 1.9x2, wherexisthetimeinseconds, for0≤x≤10. 10. a rock band is selling tickets to a concert at a theater. the band earns money for each ticket sold, but has to pay some of the earnings to the theater. the total money earned by the band can be estimated using the function f(x) = 7.5x – 300, where x is the number of tickets sold.