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

 Option 'd' is correct.

Step-by-step 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,

Hence, Option 'd' is correct.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.