Question:
You to rent a company A charges $25 per week plus a one-time fee of $52 Company b charges 37 per week plus a one-time fee of $16. After how many weeks are the total casts the same at both companies.
Solution:
Let's denote by w the number of weeks. Now, notice that for company A we have the following linear equation:
[tex]25w+52[/tex]and for company B, we have the following linear equation:
[tex]37w+16[/tex]then, to find after how many weeks are the total casts the same at both companies, we must equal the two previous equations and solve for w:
[tex]25w+52\text{ = 37w+16}[/tex]this is equivalent to:
[tex]37w-25w\text{ = 52-16}[/tex]this is equivalent to:
[tex]12w\text{ = 36}[/tex]then, solving for w we get:
[tex]w\text{ = }\frac{36}{12}\text{ = 3}[/tex]Then. we can conclude that the correct answer is:
after 3 weeks.
