Question

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

Answer 1

f(x) = 3(1.05)x + 2

Answer 2

Answer: Option 'd' is correct.

Explanation:

Since we have given that

Number of hours of pop music = 3

Number of hours of classical music = 2

According 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% = 0.05

Let the number of months be 'x'.

So, our required function becomes,

`f(x)=3(1+0.05)x+2\\\\f(x)=3(1.05)x+2`

Hence, Option 'd' is correct.