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.
2. Describe how you would graph this line using the slope-intercept method. Be sure to
write using complete sentences.
3. Write the equation in function notation. Explain what the graph of the function
represents. Be sure to use complete sentences.
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.
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.
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.