Answer:
1st blank: [tex]\text{Slope(m)}=-\frac{3}{4}[/tex]
2nd blank: [tex]\text{y-intercept}=399[/tex]
3rd blank: Slope-intercept form:[tex]y=-\frac{3}{4}x+399[/tex]
Step-by-step explanation:
Let x be the number of sandwiches and y be the number of wraps.
We have been given a chart of values, which represents Sal's total profit on lunch specials for two months. We are asked to fill in the empty boxes.
We have been given that Sal gets a profit of $3 after selling each sandwich, so Sal's profit after selling x sandwiches will be 3x.
As each wrap gives a profit of $4, So Sal's profit after selling y wraps will 4y.
Since Sal’s total profit on lunch specials for next month is $1596. We can represent this information in an equation as:
[tex]3x+4y=1596[/tex]
We can see that our equation is in standard form, so let us convert it in slope-intercept form of equation.
Since we know that equation of a line in slope-intercept form is: [tex]y=mx+b[/tex], where,
m = Slope of line,
b = y-intercept or initial value.
Let us subtract 3x from both sides of our equation.
[tex]3x-3x+4y=1596-3x[/tex]
[tex]4y=1596-3x[/tex]
Let us divide both sides of our equation by 4.
[tex]\frac{4y}{4}=\frac{1596-3x}{4}[/tex]
[tex]y=\frac{1596}{4}-\fraxc{3x}{4}[/tex]
[tex]y=399-\frac{3}{4}x[/tex]
[tex]y=-\frac{3}{4}x+399[/tex]
Therefore, equation [tex]y=-\frac{3}{4}x+399[/tex] represents the Sal's total profit for 2nd month in slope-intercept form of equation.
Upon comparing our equation with slope-intercept form of equation we can see that slope of our line is [tex]-\frac{3}{4}[/tex] and y-intercept is 399.
