Neil has been running a tutoring business since 2005. he charges a monthly fee for weekly tutoring sessions and a phone line. each year, he has increased his fee by the same amount. the table shows what neil charged each customer for two given years of his business: year annual tutoring fee 2005 $1200 2008 $1350

a. what is the rate of change and initial value for neil’s business? how do you know?
b. write an equation in slope-intercept form to represent the fees that neil charges each year.

Determine the vertex form of g(x) = x2 + 2x - 1. which graph represents g(x)? -nw -3-2-1, 1 1 2 3 -3 2- 1 -3- 1 2 3 - 1 2 3

(25 ! ) what does it mean for an equation to have no solution or infinitely many solutions?

For problems 7–10, state a reasonable domain for the problem statement, find the inverse functionf –1(x), and identify the independent and dependent quantities of the inverse. gary is jogging. the total distance he has traveled, in miles, can be estimated using the functionf(x) = 9x, where x is his jogging time in hours. 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 functionf(x) = 0.15x + 50, where x represents her computer sales in dollars. the distance a motorboat travels, in meters, can be estimated using the equation f(x) = 1.9x2, wherexisthetimeinseconds, for0≤x≤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.