Question

PLEASE HELP!

Jenny likes to paint. She estimates the number of paintings she completes using the function P of w equals one half times w plus one, where w is the number of weeks she spends painting. The function J(y) represents how many weeks per year she spends painting. Which composite function would represent how many paintings Jenny completes in a year?
Options:

Answer 1

p[J(y)] = 1/2 . J(y) + 1 or the first image is the correct answer!

I took the test and ended up getting it right.

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Answer 2

First Image:
`P(J(y))=(1)/(2)J(y)+1`

Explanation:

We have the following functions:

`P(w)=(1)/(2)w+1`

Here, P(w) represents the number of paintings Jenny completes in w weeks.

J(y) = Number of weeks per year.

Since, J(y) is the number of weeks spent per year in painting, in order to calculate the paintings completed in a year we substitute w = J(y) in the above equation. So the equation becomes:

`P(J(y))=(1)/(2)J(y)+1`

This composite function would represent number of paintings Jenny completes in a year.