3. Kara joins a movie club. She receives 8 free DVDs when she joins. She must buy 2 DVDs a month. What is the minimum number of DVDs she buys if she is in the club for one year?

Write an equation that represents the minimum number of DVDs y that Kara buys after x months.

If Kara plans to leave the club after buying 50 DVDs, how many months will she be a member?

Answer to part one of the problem = 24 DVD's

Answer to part two of the problem = 2 · x = y

Answer to part three of the problem = 25 months

Step-by-step explanation:

Part 1:

She buys 2 DVD's a month and there are 12 months in a year.

2 x 12 = 24

The minimum amount of DVD's she buys if she is in the club for one year is 24 DVD's

Part 2:

y = minimum number of DVD's bought after x years

x = amount of months

so the equation would look like this:

2 · x = y

Part 3:

If she sticks to the minimum of buying 2 DVD's a month then we can create this equation:

50 / 2 = 25

she will be a member for 25 months or 2 years and 1 month.

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