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:

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 n class=
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 n class=
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 n class=
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 n class=

Respuesta :

Answer:

First Image: [tex]P(J(y))=\frac{1}{2}J(y)+1[/tex]

Step-by-step explanation:

We have the following functions:

[tex]P(w)=\frac{1}{2}w+1[/tex]

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:

[tex]P(J(y))=\frac{1}{2}J(y)+1[/tex]

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