A video store charges $8 to rent a video game. You must be a member to rent from the store, but the membership fee is free. Another video store in town charges only $3 to rent a video game for a
5 day period, but membership in this store is $50 per year. Which rental plan is more economical?
Explain in detail and give examples.

The $3 per video game with $50 membership is more economically if you rent at least 11 games or more per year

Step-by-step explanation:

there are 365 days in a year

3 x 365 = 1095

1095 + 50 = $1145 (Cost per year)

8 x 365 = $2920 (Free Membership) cost per year

If you only rent 10 video games per year, they equals the same amount

$3 x 10 (games) = $30 Then $30 + $50 (Member Fee) = $80

$8 x 10 (games) = $80 for 10 games rental

If they rent 11 games or more per year, then the $3 rental is more economical.

$3 x 11 = $33; $33 + 50 = $83

$8 x 11 = $88

4a^2+7ab-b^2

Step-by-step explanation:

Add the first two equations together:

  3a^2-ab-2b^2

+ 2a^2+5ab-3b^2

5a^2+4ab-5b^2

Subtract that answer from the remaining trinomial:

 5a^2+4ab-5b^2

- a^2-3ab-4b^2

4a^2+7ab-b^2