Answer:
Savanna Leeper 02.03 individual project
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-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2x+37=1470 is the given equation.
We will need to subtract 2x from both of the sides.
3y=-2x+1470
Next, divide both of those sides by 3.
y=-2/3x+490
y=mx+b
The slope is -2/3, and it goes into the m.
The y-intercept will be 490 and it goes into the b place.
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Put a dot on 490 on the graph. Move left 3 and 2 up. Make another dot there. This shows the fraction. I think it is 2 up because when you divide by a negative it becomes a positive. Fractions show division. We move 3 left because that is the denominator, the run. We move 2 up because that is the rise. When you rise, you go up. That is how I think of it. So, since it’s the upper part of the fraction we rise. Draw a line through them both.
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
The answer is f(x)=-2/3+490 because the graph shows the amount of money he’s made and the function is the number of sandwich specials he sells.
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.
I did not know how I’d draw this, but I found an image online, it’s not mine, but it shows the graphed equation and I think it’s correct.
The first dot is on 490, and when you go 3 over and 2 down, it does make the line. I’m not taking this image as my own work, but I think this would be the correct answer.
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.
The profit of every sandwich is 2 dollars and the profit of every wrap is 3 dollars. Last month he earned 1,470 so the next month he’ll earn 1,593. Both still have the same amount of profit, but the totals are different due to the change of the sold amount.
