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?
Accepted Solution
A:
Answer:A) Total weekly salary = $1000 + ( 0.05 × s )B) Yes this is a functionC) 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, ∞ ]Step-by-step explanation:Given :Weekly salary = $1000Commission = 5% of all her salesLet the number of sales be 's'thus, A) Total weekly salary = $1000 + ( 0.05 × s )B) Yes this is a functionC) 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, ∞ ]