Question

A company produces accessories for smart phones and tablets. The profit on each smart phone case is $2, and the profit on each tablet case is $3. The company made a profit of $1,200 on the cases last month. The equation 2x + 3y = 1,200 represents the company's profit from cases last month, where x is the number of smart phone cases sold and y is the number of tablet cases sold.
3.Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
I don't quiet understand this.

Answer 1

I know the function notation is f(x)=2x+1,200
but I don't know how to explain what the graph of the function represents.
Help?!
@study100 ?? are you able to help me?

Answer 2

no that is the slope-intercept form. I already got that. I need function notation

Answer 3

The definition of function notation
is f(x) = y

Answer 4

So, you need to slope intercept = function notation, the only difference is that they replace f(x) with y

Answer 5

your f(x) function is incorrect, get the slope intercept form first, then replace y with f(x)

Answer 6

ok so is it basically the same thing then?? I kinda don't get function notation?
so is it 3f(x)-2x+1,200

Answer 7

Yes, exactly that :)
then get f(x) alone by
3f(x) = -2x + 1200
divide 3 to both sides.

Answer 8

\[f(x) = \frac{ -2 }{ 3 }x + 400\]

Answer 9

@MilenaSaeger
As explained, notation function is f(x) = y

Reread the problem What did they tell you that y represents?

Answer 10

y represented the y intercept which is (0,3)

Answer 11

look that the work problem text,
they say that " y is the number of tablets cases sold". Since f(x) = y

so,
f(x) represents the number of tablets cases sold last month

Answer 12

Lemme know if you have questions.

Answer 13

The graph of f(x) represents the number of tablets cases sold last month.

The graph is f(x).

Answer 14

ok thank you. I understand it much better now

Answer 15

You're welcomed :) Glad it helps