Acompany 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. 1. change the equation into slope-intercept form. identify the slope and y-intercept of the equation. be sure to show all of your work. 2. describe how you would graph this line using the slope-intercept method. be sure to write in complete sentences. 3. write the equation in function notation. explain what the graph of the function represents. be sure to use complete sentences. 4. graph the function. on the graph, make sure to label the intercepts. o you may graph your equation by hand on a piece of paper and scan your work. 5. suppose in the next month, the total profit on smart phone cases and tablet cases is $1,500. the profit amounts are the same, $2 for smart phone case and $3 for the tablet case. in a paragraph of at least three sentences, explain how the graphs of the functions for the two months are the same and how they are different. be sure to use complete sentences. 6. below is a graph that represents the total profits for a third month. write the equation of the line that represents this graph.

y= -2/3x(m) +400(b)

Step-by-step explanation:

1.2x + 3y = 1200

3y = -2x + 1200

y = (-2x/3)x + 1200/3  

the slope is -2/3x the y intercept is 400

2.I would plot the ordered pair (0, 400) on the coordinate plane. Then to find the other ordered pair you would use the slope (-2, 3). You should go two spaces to the right of (0, 400) and then three spaces down. After this your slope look like (-2, 397)

3.the function t(x) gives the number of tablets, given that x smart-phones have been sold/produced  

t(x) = (-2/3)x + 400  

Suppose in the next month, the total profit on smart phone cases and tablet cases is $1,500. The profit amounts are the same, $2 for smart phone case and $3 for the tablet case. In a paragraph of at least three sentences, explain how the graphs of the functions for the two months are the same and how they are different. Be sure to use complete sentences.

They would be similar because the slope would stay the same. The slope would stay the same, because the prices remain the same. They would be different because their y intercept would change

4.F (x) = mx + b

F (x) = mx + 300

F (x) = 6/9x + 300

F (x) = 2/3x + 300

i dont really have clue about how to do next

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4