Ahotel offers a reward program based on the number of nights stayed. the function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.
f(x) = (x/10)
which describes the meaning of f(x)?
a. a customer earns 1 free night per 10 nights stayed.
b. a customer starts with 1 free night and then earns another free night after every 10 nights stayed.
c. a customer earns x – 10 free nights for every 10 nights stayed.
d. a customer earns 10 free nights after x number of nights stayed.

option a. A customer earns 1 free night per 10 nights stayed.

Explanation:

Building a table can help you:

x: number of nigths stayed f(x) = 1/x: number of free nights

10 10/10 = 1

20 20/10 = 2

30 30/10 = 3

40 40/10 = 4

Then, the pattern permits you to conclude that a customer earns 1 free night per each 10 nights stayed, which is the option a.

a. A customer earns 1 free night per 10 nights stayed.

Step-by-step explanation:

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

When , we put x=1, we get

Here f(1)  represents the number of free nights earned by customer is 1 per 10 nights stayed.

Hence, the a customer earns 1 free night per 10 nights stayed.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18