6
algebraA 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.
- Define variables: Let be the number of movies.
- Set up equation: (Cost per movie number + monthly fee = total)
- Subtract 10 from both sides:
- Simplify:
- Divide by 3:
- Verify: ✓
So, you rented 4 movies.
Choice Ahoice C is incorrect because this results from adding 10 to 22: , then dividing? No, maybe . Or simply calculating and stopping there.
Choice Ahoice D is incorrect because this might come from calculating or some other error.
Choice Ahoice B is incorrect because this results from adding 10 to 22 () and not dividing.