Question

A salesperson is paid a weekly salary of $1000, plus a commission of 5% of all her sales for the week.

A) Express her weekly income in terms of the weekly sales amount.

B) Is this a function?

C) How do you know?

D) What is an appropriate domain?

Answer 1

A) Total weekly salary = $1000 + ( 0.05 × s )

B) Yes this is a function

C) This is a function because the weekly salary is dependent on the number of sales 's'. Hence, total weekly salary is a function of sales.

D) Domain will be [ 0, ∞ ]

Explanation:

Given :

Weekly salary = $1000

Commission = 5% of all her sales

Let the number of sales be 's'

thus,

A) Total weekly salary = $1000 + ( 0.05 × s )

B) Yes this is a function

C) This is a function because the weekly salary is dependent on the number of sales 's'. Hence, total weekly salary is a function of sales.

D) The domain here will be all the possible values of sales i.e 's'

Hence,

sales will always be positive

thus,

domain will be [ 0, ∞ ]