Answer:
Step-by-step 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
