Question

I'm preparing for an exam and I'm going over questions I got wrong and I can't figure out myself. It's for Math Integrated 2, I'd like help primarily in explaining it to me the method on how to solve these problems. I also have additional questions regarding the subject. This will go in my notes so I can re-take the quiz I got the answers wrong in and then use the notes for the Unit exam next week. Thank you :)

Answer 1

The question tells us that the profit is equal to the difference between revenue and cost.

Then P(x) = R(x) -C(x)

The revenue can be modeled by the function:

`R(x)=2x^2+55x+10`

and the cost can be modeled by:

`C(x)=2x^2-15x-40`

Replace both functions on the Profit equation:

`P(x)=R(x)-C(x)`
`P(x)=(2x^2+55+10)-(2x^2-15x-40)`
`P(x)=2x^2+55x+10-2x^2+15x+40`

Solve like terms:

`P(x)=70x+50`

Now, the x variable represents the number of cell phones sold.

If 240 cell phones are sold, set x= 240:

`P(240)=70(240)+50`
`P(x)=16,850`

Therefore, the correct answer is the third option.