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.

Change the equation into slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all of your work.

Answer 1

\[y=\left(\begin{matrix}2 \\ 3\end{matrix}\right)x+400\]

Answer 2

Thank you then would the slope be 2/3 and the y intercept would be (0,400) ?

Answer 3

@johnweldon1993 is this right?

Answer 4

slope is -2/3 and the y intercept is as you said (0,400) then I would use the slope to do the rest or go 2 points to the right and 3 to the down. After this it should look like 3,398

Answer 5

the last part confused me /.\

Answer 6

Right^

To change \(\large 2x + 3y = 1200\) into slope intercept form...subtract 2x from both sides

\[\large 3y = -2x + 1200\]
divide by 3
\[\large y = -\frac{2}{3} + 400\]

Answer 7

Argh forgot the 'x' -_-

\[\large y = -\frac{2}{3}x + 400\]

There we go :)

Answer 8

thanks guys (:

Answer 9

Anytime!

Answer 10

Of course!