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12 votes
12 votes
Lana is at the driving station. the driving range charges $4 to rent a golf club plus $2.75 for each bucket of golf balls you hit. How much does Lana have to pay if she gets 3 bucket of golf balls.I need slope, y intercept and equation.

User E Dine Sh
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1 Answer

23 votes
23 votes

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

User AMoL Thite
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3.6k points
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