Question

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.
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.

Answer 1

Answer: 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.

Answer 2

Answer: 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.

$\text{f(x)}=\frac{x}{10}$

When , we put x=1, we get

$\text{f(1)}=\frac{1}{10}$

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

Hence, the $\text{f(x)}=\frac{x}{10}$ a customer earns 1 free night per 10 nights stayed.