Q:

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 into slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all of your work below:

Accepted Solution

A:
Answer:1. slope intercept form is y=mx+b, where m is the slope and b is y-intercept. To write this in slope intercept form we must isolate the y. 2x+3y=14702x+3y-2x=1470-2x( subtraction will cancel the positive 2x on the left side)3y=-2x+1470 ( since they are not like terms we can not combine them, we leave them separate)3y/3=-2/3x+1470/3( cancel the 3 by dividing, EVERYTHING IN THE EQUATION gets divided to keep it equal) So, y=2/3x+490 in other words the slope of the equation is -2/3 and the y-intercept is 490.2. To graph this equation plot 490 on the y-axis first, seeing it is the y-intercept. Then count over to the right 3 and down 2, to find your next point and do this for every other point. .3. In function notation this would look like this : f(x)=-2/3x+490. This function shows how the profit on wrap specials has changed as the number of sandwich specials sold increases5. The next month Sals profit increased. The function changes because the y-intercept changes. The slope will stay the same.Step-by-step explanation: