Question

PlEaSe HeLp!! 50 pts

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. graph of line going through ordered pairs (0, 300) and (450, 0)

Answer 1

where is the attachment in the answer above me

Explanation:

Answer 2

Explanation:

1.) Given the equation 2x + 3y = 1470, to write the equation in the slope intercept form, we make y the subject of the formula.

3y = -2x + 1470

where: -2/3 is the slope and 490 is the y-intercept.

2.) To graph this equation using the slope intercept form,

i.) we plot the y-intercept point. (i.e. point (0, 490)).

ii.) we use the slope to find a second point (preferably a point on the x-axis). The slope is negative means that the line ill slope downwards from left to right. To find the point at which the line crosses the x-axis, we recall that the slope of a line is given by

i.e.

Thus, the line passes through the points, (0, 490) and (735, 0).

3.) We write the equation with a function notation as follows

The graph of the function above represents the number of wrap lunch specials sold for every given number of sandwich lunch specials sold.

4.) The graph of the function is attached. In the graph the vertical axis is the y-axis while the horizontal axis is the x-axis.

5.) Given that Sal's total profit on lunch specials for the next month is $1,593 and that the profit amounts are $2 for each sandwich and $3 for each wrap.

The gaph of the function representing the new situation is similar to the graph of the previous situation because both graphs have the same slope and a parallel to each other.

They have different y-intercept with the y-intercept of the later situation being (0, 531). Thus the graph of the later situation is above the graph of the previous situation.

6.) In the given graph the y-intercept is (0, 300) and the x-axis is (450, 0). Recall that the equation of a line with two of the point through which the line passes known is given by

Therefore, the equation of the given graph is given by