Question

I need to write an inequality that represents the fact that while making my product i can’t exceed the spending limitmy spending limit is $80 and it costs 0.45 cents to make each product im "selling"

Answer 1

The product you are selling cost 0.45 cents each one, it is equal to (0.0045 dollars).

Let's call x the number of products you make, then the cost for x products is equal to 0.0045x dollars.

If your spending limit is $80, then the cost of the x products must be less or equal to $80, then the inequality is:

$0.0045\cdot x\le80$

In order to write this number in the number line, we need to solve for x, then:

$\begin{gathered} x\le\frac{80}{0.0045} \\ \therefore x\le17777.8 \end{gathered}$

In the number line it is: