Janine is considering two movie rental plans. Plan A can be modeled with the equation C=3m and Plan B can be modeled with the equation C=2m+5 where C represents the cost in dollars and M represents the number of movies rented each month. Which statement would justify selecting Plan B instead of selecting Plan A?
A. J rents exactly 3 movies each month.
B. J rents from 1 to 5 movies each month.
C. J rents 5 to 10 movies each month.
D. J rents exactly 5 movies each month.
You are looking at how many movies she needs to rent using Plan B that will have her spend less money than Plan A
Tell me the answer please Ive done all I can do
What did you get for this question? I can check your answer
I'm thinking B or A
There's a big difference between B and A.
Hm, not quite!
Have you tried substituting?
they are equal to 15 when m = 5
Plan A is more expensive if m>5
Plan B is more expensive for m <5
so you want m>/= 5, C
Yes, but I don't quite get the question. Am I looking for the less amount of money that she'll waste or? I'm confused
Oh okay! Thank you!
To justify selecting Plan B instead of Plan A, we need to compare the costs for different numbers of movies rented each month using the given equations.
Plan A: C = 3m
Plan B: C = 2m + 5
Let's evaluate the cost for different scenarios:
A. J rents exactly 3 movies each month.
For Plan A: C = 3 * 3 = 9
For Plan B: C = 2 * 3 + 5 = 11
In this case, Plan A is cheaper than Plan B, so it does not justify selecting Plan B.
B. J rents from 1 to 5 movies each month.
For Plan A:
- 1 movie: C = 3 * 1 = 3
- 5 movies: C = 3 * 5 = 15
For Plan B:
- 1 movie: C = 2 * 1 + 5 = 7
- 5 movies: C = 2 * 5 + 5 = 15
In this case, both plans have the same cost when renting 5 movies. However, for any other number of movies within the range, Plan B is cheaper than Plan A. So, this justifies selecting Plan B over Plan A.
C. J rents 5 to 10 movies each month.
For Plan A:
- 5 movies: C = 3 * 5 = 15
- 10 movies: C = 3 * 10 = 30
For Plan B:
- 5 movies: C = 2 * 5 + 5 = 15
- 10 movies: C = 2 * 10 + 5 = 25
In this case, both plans have the same cost when renting 5 movies, but Plan B is cheaper than Plan A when renting 10 movies. So, this does not justify selecting Plan B over Plan A.
D. J rents exactly 5 movies each month.
For Plan A: C = 3 * 5 = 15
For Plan B: C = 2 * 5 + 5 = 15
In this case, both plans have the same cost when renting exactly 5 movies. So, it does not justify selecting Plan B.
Based on this analysis, the correct statement that would justify selecting Plan B instead of Plan A is B. J rents from 1 to 5 movies each month.