Question

Jojo likes to paint. She estimates the number of paintings she completes using the function P of w equals two thirds times w minus two, 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 Jojo completes in a year?

Answer 1

p{j(y)}=2/3*j(y)-2

Explanation:

Answer 2

`P = (2)/(3) [J(y)] - 2`

Explanation:

If Jojo completes P number of paintings working w weeks then the relation between P and w is given by
`P = (2)/(3) w - 2`. ........ (1)

Again, the function J(y) represents how many weeks per year she spends painting.

So, w = J(y). ...... (2)

Therefore, the composite function which represent how many paintings Jojo completes in a year, is given by

`P = (2)/(3) [J(y)] - 2` (Answer)