In order to determine how much Lana has to pay if she gets 3 buckets, it is convenient to write the given situation in an algebraic way.
If x is the number of buckets of golf balls, 2.75x is the price of renting x buckets. The amount of money Lana pay is the previous cost plus the driving range charges of $4.
Then, you can write that the total amount of money Lana pay C(x) is given by:
C(x) = 2.75x + 4
If she gets 3 buckets of golf balls, then x = 3, and for C(x) you obtain:
C(3) = 2.75(3) + 4
C(x) = 8.25 + 4
C(x) = 12.24
Then, Lana hay to pay $12.24
To determine the slope and y intercept, take into account that the general form of the equation of a line is given by:
y = mx + b
where m is the slope and b the y intercept.
By comparing the general form of the equation of a line witht eh function C(x), you can conclude:
slope = 2.75
y intercept = 4