Question

Help medal and fan

Answer 1

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)

Answer 2

@jim_thompson5910

Answer 3

I don't know where you got the 1200 from, as it's clearly 2x + 3y = 1,470 on the question
Putting to slope-intercept form means solving for y :
2x + 3y = 1,470 => 3y = -2x + 1470 => y = -2/3 x + 490
You can identify the slope and the y-intercept from that.
To graph using the slope-intercept, start from the y-intercept and go 3 steps right and 2 steps down (-2/3)
For function notation you just replace y with f(x) like this:
f(x) = -2/3 x + 490 It represents the same line you graphed before.
https://www.desmos.com/calculator/qqsmnq5td5

Answer 4

@amistre64

Answer 5

do you recall the format for slope intercept form?

Answer 6

no, given some standard form: ax+by=c

slope intercept is just solving for y: y = -ax/b +c/b

where -a/b is your slope, m

and c/b is your y intercept

Answer 7

oh

Answer 8

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. 2x + 3x =1470 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.

Answer 9

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

2x + 3x = 1470
a b c

now, change it to y=-ax/b + c/b and identify the slope and y intercept

Answer 10

y=-2x/3+1470/3?

Answer 11

yes, then simplify as needed

Answer 12

what is the slope and what is the y intercept?

Answer 13

the slope is -2/3 and the y intercept is 490?

Answer 14

seems good to me

Answer 15

What about the other questions this is what I have so far @amistre64

Answer 16

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.

Answer 17

@amistre64