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.
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 s

Answer 1

1. slope intercept form is Y = mx + b
so we are going to rearrange the given equation into that form
given: 2x + 3y = 1200

subtract 2x from both sides and then divide by 3

3y = -2x + 1200
y = -2/3x + 400

Answer 2

Did you follow that?

Answer 3

what is the slope? M
y intercept? B

Answer 4

i think the slope for m is 400

Answer 5

Look at Y = mx + b

m =slope
B = y intercept

so the slope is actually -2/3

Answer 6

oh ok

Answer 7

now what is the y intercept?

Answer 8

and what point (for graphing purposes) does that represent?

Answer 9

400

Answer 10

im sorry im not good at math

Answer 11

nP

Answer 12

At least you are asking for help :)

Answer 13

thanks

Answer 14

The point that coincides with the y intercept is (0, B)
so that is (0,400) in this problem

Answer 15

So to answer the last question...always start with y intercept point and then use the slope to RISE (numerator) and RUN RIGHT (denominator). Note when the slope is NEGATIVE RUN to the LEFT....
Draw a line to connect the points and there you have your graph.

Answer 16

so for question 1 Y = mx + b
that was the answer

Answer 17

yes

Answer 18

thank you could you help me with one more and how do i give you a medal

Answer 19

you there

Answer 20

You r welcome...sure post new one I am here

Answer 21

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 using one of the following two options below. On the graph, make sure to label the intercepts.
• You may graph your equation by hand on a piece of paper and scan your work.
• You may graph your equation using graphic technology that can be found in the Course Information area.
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.

Answer 22

Are you using the same information?

Answer 23

yes

Answer 24

i hate math but is neccesary lol

Answer 25

3.Solve the equation for y and then replace y by f(x)

Since we solved for y = mx + b ...just rewrite to fx) = mx + b

Answer 26

The graph of the function represents the graph of the line...

Answer 27

4 we discussed that earlier...just graph the line by using 2 points. One point is the y intercept ordered pair and the other is where the rise/run stops when you apply slope.

Answer 28

soo (0,400 that is the y

Answer 29

5. instead of profit being 1200 it is 1500 so equation is 2x + 3y = 1500

Answer 30

yes, 0,400 is the ordered pair for the y - intercept

Answer 31

5 cont...from the new equation - rewrite into slope intercept form.

compare this one with the one we did in 1...what is different, what is same.

look at slope and y intercept.

Answer 32

wait i dont get it sorry

Answer 33

Don't get which part?

Answer 34

the things i need to graph

Answer 35

plot point (o,b)

make it easy - pick a point for x...say x = 30
plug in value for x and what do you get for Y? that is point #2

connect those two points

Answer 36

so 0,30 that what i plug in

Answer 37

ordered pairs are x,y

so if x = 30 ; what is y?

Answer 38

plug in x value to determine Y

Answer 39

im sorry put i dont understand how to plug the x to the y

Answer 40

y = -2/3x +400

y = -2/3 (30) + 400
y = -20 + 400
y = 380

so the 2nd point is 30,380

Answer 41

makes sense?

Answer 42

so is there away that you could draw the graph so i could see it it kind makes sense

Answer 43

The points are too big. It is actually just a line