Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change. Which function shows the total hours of music she will have in her collection after x months?a. f(x) = 2(0.05)x + 3b. f(x) = 3(0.05)x + 2c. f(x) = 2(1.05)x + 3d. f(x) = 3(1.05)x + 2
Accepted Solution
A:
Answer: Option 'd' is correct.Step-by-step explanation:Since we have given thatNumber of hours of pop music = 3Number of hours of classical music = 2According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change. Rate of increment = 5% = 0.05Let the number of months be 'x'.So, our required function becomes,[tex]f(x)=3(1+0.05)x+2\\\\f(x)=3(1.05)x+2[/tex]Hence, Option 'd' is correct.