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? (4 points)

f(x) = 2(0.05) x + 3
f(x) = 2(0.05) x + 3
f(x) = 2(1.05) x+ 3
f(x) = 3(1.05) x + 2

Answer 1

@YanaSidlinskiy @mathmale @ShadowLegendX

Answer 2

D can be eliminated

Answer 3

No.... It's the right answer.

Answer 4

:)

Answer 5

jk

Answer 6

answer is C

Answer 7

@YanaSidlinskiy is correct

x = 0 is the starting month

plug this into the function to get

f(x) = 3(1.05)^x + 2
f(0) = 3(1.05)^0 + 2
f(0) = 3(1) + 2
f(0) = 3 + 2
f(0) = 5

so there's 5 hours total as expected in the beginning

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One month later, there's 5 more percent of pop music. So take 5% of 3 hours to get 0.05*3 = 0.15 which gets added on to the previous total
5+0.15 = 5.15

if we plug x = 1 into the function, we should get 5.15. Let's find out

f(x) = 3(1.05)^x + 2
f(1) = 3(1.05)^1 + 2
f(1) = 3(1.05) + 2
f(1) = 3.15 + 2
f(1) = 5.15

So it fits. This pattern would keep going. I recommend you trying out the next step to see if it works or not

Answer 8

@jim_thompson5910 its D isnt it

Answer 9

Where are you stuck?

Answer 10

im not

Answer 11

yes the answer is D

Answer 12

Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month.

Answer 13

this says it all

Answer 14

@YanaSidlinskiy

Answer 15

you were correct

Answer 16

Thank you:) Now if you could stop with the jokes and knock it off I'd appreciate it.