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11study11 · Answer

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. 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 or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
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.
graph of line going through ordered pairs (0, 300) and (450, 0)

11study11 · Answer

This is what I have so far

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

1.	Change the equation to slope form. Identify the slope and y-intercept of the equation. Be sure to show all your work.        
y=-2x/3+1470/3  The slope is -2/3 and the y intercept is 490.                                                                                                                                                                                                                                                                                                                   2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences. To graph using the slope-intercept, start from the y-intercept and go 3 steps right and 2 steps down (-2/3).
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences4. Graph the function. 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 or you may use graphing technology. f(x) = -2/3 x + 490 >=   3y = -2x + 1470    >=   y = -2/3 x + 490
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different. It will still be 2x+3x but the profit would be 1593. So you would get 2x+3x=1593. The cost for the wrap and sandwiches is still the same but they made a higher profit the next day. 
6. 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.

11study11 · Answer

here is  the graph for the last qestion

11study11 · Answer

@Data_Lg2

data_lg2 · Answer

Let's see if we got the same:

1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.

2x + 3y = 1,470  --> change to y=mx+b form

3y=-2x+ 1470
y= -2/3 x + 490

slope: -2/3, y-int: 490 did we get the same? Yes. Good Job!

2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences. 

To graph using the slope-intercept, start from the y-intercept and go 3 steps right and 2 steps down (-2/3).  $\sf \color{red}{GOOD}$ 

3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences. $\sf \color{red}{Answer\ Missing}$ 

4. Graph the function. 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 or you may use graphing technology.

 f(x) = -2/3 x + 490 >=   3y = -2x + 1470    >=   y = -2/3 x + 490 $\sf \color{red}{I\ think\ this\ one\ is\ your\ answer\ for \ number\ 3, correct? this\ one\ is\ RIGHT☺}$ 

***For #4, I assume that it is on the file.. It looks good to me.


5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different. 

It will still be 2x+3x but the profit would be 1593. So you would get 2x+3x=1593. The cost for the wrap and sandwiches is still the same but they made a higher profit the next day. $\sf \color{red}{Correct }$ 


6. 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. $\sf \color{red}{Answer\ Missing}$

11study11 · Answer

Don't know what to do foe  number 4 and 6.

11study11 · Answer

can you help?

data_lg2 · Answer

give me a sec. I'm opening your file again

data_lg2 · Answer

So for  number 4, you have to literally do what you said on number 2. Grab a piece of paper and pencil, draw a coordinate plane and follow what you write on Question 2.

data_lg2 · Answer

your graph should look like this: https://www.desmos.com/calculator/e204htgyxg

data_lg2 · Answer

Don't forget to label your x and y axis.

data_lg2 · Answer

For number 6,

you have to look for the y-intercept of the graph. That will be the value of your $\sf "b"$ in the equation $\sf y=mx+b$. Now, for the value of the slope, you have to pick two points and apply the slope formula:

$\sf \Large slope(m)= \frac{Y_2-Y_1}{X_2-X_1}$

11study11 · Answer

Thanks so much @Data_Lg2

data_lg2 · Answer

can you manage it now from here? If you are still confused with something, don't hesitate to ask ^_^