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2Dgames
11.06.2021 •
Mathematics
70 POINTS
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.
Part A) Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Part B) Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Part C) Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Part D) 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.
Part E) 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.
Part F) 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)
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Ответ:
1. 2x + 3y = 1,470
–2x –2x
3y = –2x + 1,470
3y/ 3 = –2x/3 + 1,470/3
y = –2x/3 + 490
The y-intercept of this equation is 490 and the slope is -2x/3.
2. I would graph this line by finding the y-intercept 490 first.
Then, you would move down twice from 490 to 488.
Finally, you would move to the right 3 times.
3. F(x) = –2x/3 + 490
The graph would represent the profit of Sal’s Sandwich Shop on every sandwich and wrap from the lunch specials last month.
4. View file below.
5. The graphs of these functions are similar in the fact that they are parallel to each other, therefore having the same slope.Both lines are also negative. They are different in that they do not have the same y-intercept or x-intercept.
Ответ: