Part a: darla rented a room for 3 days at $285.00 per day. if she rents the same room for 6 days, it would cost $510.
write an equation in the standard form to represent the total rent (y) that darla has to pay for renting the room for x amount of days. (4 points)
part b: write the equation obtained in part a using function notation. (2 points)
part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals.

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?