An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 8.33 cents per kilowatt-hour to its base charge of $16.35 per month. Consider the relationship between the energy charge per kilowatt-hour and the base charge. Write 8.33 cents in dollars.

$ .0833

State the initial or base charge on each monthly bill (in dollars).

$

In addition to the base charge, customers pay an additional amount that varies depending on how many kilowatt-hours they use that month. What is the energy charge in dollars per kilowatt-hour?

dollars per kilowatt-hour
Write an equation for the monthly charge y in terms of x, where x is the number of kilowatt-hours used. (Let y be measured in dollars.)

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.