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.

Answer 1

What's the question?

Answer 2

Change the equation into slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all of your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write in complete sentences.

Answer 3

Okay, 2x + 3y = 1200

2x + 3y = 1200

Slope intercept form is y = mx + b, where 'm' is the slope, and 'b' is the y-intercept.

So first we subtract '2x' to both sides:

3y = -2x + 1200

Now we divide 3 to both sides:

y = -2/3x + 400

So this is slope-intercept form, what are the slope and y-intercept here?

Answer 4

The y = -2/3+400 & Its A 6 part question :(

Answer 5

I know, I've answered this question like 2 times in the past.

Answer 6

Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
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.

Answer 7

y = -2/3x + 400

This is the equation in slope-intercept form, can you tell me what the slope and y-intercept are?

It's in the form of:

y = mx + b

Where 'm' is the slope, and 'b' is the y-intercept.

Answer 8

Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
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.

Answer 9

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.
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answer 10

y = -2/3x + 400

This is the equation in slope-intercept form, can you tell me what the slope and y-intercept are?

It's in the form of:

y = mx + b

Where 'm' is the slope, and 'b' is the y-intercept.

Answer 11

That's It @iGreen.

Answer 12

?

Answer 13

Tell me the slope and y-intercept in y = -2/3x + 400

Answer 14

the -2/3x +400

Answer 15

Yes, the slope will be -2/3..and the y-intercept will be 400.

Answer 16

So if we are to graph this, we can first plot the y-intercept, then draw a line that has -2/3 slope through it.

Answer 17

Okay .

Answer 18

That takes care of this:

"Change the equation into slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all of your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write in complete sentences."

Answer 19

"Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences."

Function notation is just replacing 'y' with 'f(x)'

y = -2/3x + 400

So replace 'y' with 'f(x)'

Answer 20

so it would be f(x) - 2/3 +400?

Answer 21

f(x) = -2/3x + 400

Yes, but we keep the equal sign.

Answer 22

Ohh I Forgot Sorry

Answer 23

"Graph the function using one of the following two options below. On the graph, make sure to label the intercepts."

Here's the graph:

Answer 24

Omg Thank You :)

Answer 25

what part do we have left ?

Answer 26

"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."

We can graph them together, the equation for this one will be: 2x + 3y = 1500.

(Note: the red line is the original, the blue line is the new one)

Answer 27

So they both have the SAME slope, but they have different y-intercepts.

Answer 28

Okay Ima Make Sure I Put That IN So My Teacher Don't Get Confused.

Answer 29

"Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations."

Okay, first let's find the slope:

We can use the 'y' and 'x' intercepts. (0, 300) (450, 0)

So plug them into the slope formula:

\(m = \dfrac{0-300}{450-0}\)

Can you subtract those?

Answer 30

I Got 50

Answer 31

I got something different..what's 0 - 300?

Answer 32

-300

Answer 33

Yes, and what's 450 - 0?

Answer 34

450

Answer 35

Yes, so we have: -300/450 which is the same as -2/3.

So our slope is -2/3 and our y-intercept is 300.

y = mx + b

Where 'm' is the slope, and 'b' is the y-intercept.

So we can plug in the slope(-2/3) and the y-intercept(300):

y = -2/3x + 300

Answer 36

So that's our equation..that's all the steps! :D

Answer 37

1.How can we solve linear equations in one variable?
2. What are the similarities and differences in solving equations and inequalities?
3. What are the steps in solving an absolute value equation?
4. How is solving a literal equation different from solving a one- or two-step equation?
This Is It For Now

Answer 38

Post a new question..we can only have 1 question per post.

Answer 39

Okay