Question

I would like to know how to answer the questions below.Q - A salesperson is paid a weekly salary of 800$, plus a commission of 4% of all their sales for the week.Express their weekly income in terms of the weekly sales revenue. Define the variables in terms of what the letters mean relative to the context of the problem.Q .2 - does your answer satisfy the definition of a function? If so, How?Q .3 what is the domain?

Answer 1

Solution

Q1

Step 1

Let the weakly revenue = m

Let the weekly income = c

Step 2

Weekly income = Weekly salary + 4% of weekly revenue

Step 3

$c\text{ = 800 + 0.04m}$

Q2

c = 800 + 0.04m

It is a function because as the independent variable 'm' changes, the dependent variable 'c' also changes and is unique.

Q3:

$\begin{gathered} The\:domain\:of\:a\:function\:is\:the\:set\:of\:input\:or\:argument\:values\: \\ for\:which\:the\:function\:is\:real\:and\:defined. \end{gathered}$$Domain\text{ = \lbrack 0 , }\infty)$