The table gives two options for online music clubs which is also given by the system of equations:
y = 0.4x + 15 and y = 0.2x + 25
For what number of songs will the monthly charge be the same?
Responses
A 2525
B 5050
C 3030
D 2020
Setting the two equations equal to each other, we have:
0.4x + 15 = 0.2x + 25
Simplifying by subtracting 0.2x and 15 from both sides, we get:
0.2x = 10
Dividing both sides by 0.2, we find:
x = 50
Therefore, the monthly charge will be the same for both options when the number of songs is 50.
Answer: B) 5050