20 points
the table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:

x g(x)
0 $325
5 $400
10 $475

part a: find and interpret the slope of the function. (3 points)

part b: write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)

part c: write the equation of the line using function notation. (2 points)

part d: what is the balance in the bank account after 12 days? (2 points)

Which of the following represents the factorization of the trinomial below? x^2+7x-30

Given abc find the values of x and y. in your final answer, include all of your calculations.

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .