Question

The profits for a business can be represented as a function p(x)=110+25x for the month of January and q(x)=15x+85 for the month of February.

Which function represents the total profit for January and February?

Answer 1

To find the total profit, add p(x) and q(x):
(110 + 25x) + (15x + 85)
15x + 25x + 110 + 85 --> group like terms
40x + 195 --> add like terms
p(x) + q(x) = 40x + 195 --> This is the function that represents the total profit for January and February

Answer 2

`p(x)+q(x)=40x+195`

Explanation:

The function that represents the total profit for January and February is the sum of them.

We have,

`p(x)=110+25x\\q(x)=15x+85`

So, the sum would be

`p(x)+q(x)=110+25x+15x+85=40x+195`

Remember that "and" often refers "adding", basically the problem is defining functions for each month, and it wants us to find the combination of both of them

Therefore, the answer is
`p(x)+q(x)=40x+195`