6
algebra

A streaming service charges a $10 monthly fee plus $3 per movie rented. If you spent $22 last month, how many movies did you rent?

A

12

B

4

C

32

D

6

Correct Answer: B

Choice Ahoice C is the correct answer. We can model this real-world scenario with a two-step equation.

  1. Define variables: Let xx be the number of movies.
  2. Set up equation: 3x+10=223x + 10 = 22 (Cost per movie ×\times number + monthly fee = total)
  3. Subtract 10 from both sides: 3x=22103x = 22 - 10
  4. Simplify: 3x=123x = 12
  5. Divide by 3: x=4x = 4
  6. Verify: 3(4)+10=12+10=223(4) + 10 = 12 + 10 = 22

So, you rented 4 movies.

Choice Ahoice C is incorrect because this results from adding 10 to 22: 3232, then dividing? No, maybe 3x=323x = 32. Or simply calculating 2210=1222 - 10 = 12 and stopping there.

Choice Ahoice D is incorrect because this might come from calculating (22+10)/310.6(22+10)/3 \approx 10.6 or some other error.

Choice Ahoice B is incorrect because this results from adding 10 to 22 (3232) and not dividing.