Question

Question #1

1. Sal’s Sandwich Shop sells wraps and sandwiches as part of its lunch special. The profit on each sandwich is $3 and the profit on each wrap is $4. The company made a profit of $1,680 from lunch specials last month. The equation in Standard Form, Ax + By = C, 3x + 4y = 1680, represents the company’s profit from last month from x number of sandwiches and y number of wraps.

x represents the number of what? Sandwiches OR wraps (Circle ONE)
y represents the number of what? Sandwiches OR wraps (Circle ONE)

Change the equation into Slope Intercept Form, y = mx + b. Identify the slope and the y-intercept.
Show your work BELOW:

Answer 1

• x = sandwiches
• y = wraps
• y = -3/4x +420
• y-intercept = 420
• m = -3/4

Explanation:

This is a reading comprehension question. The problem statement tells you ...

"x number of sandwiches" and "y number of wraps."

You should be able to deduce that ...

x represents the number of sandwiches

y represents the number of wraps

___

The equation 3x+4y=1680 is put into slope-intercept form by solving for y.

4y = -3x +1680 . . . . . subtract 3x

y = (-3/4)x + 420 . . . .divide by 4

Comparing this to the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept, we see that ...

y-intercept = 420

m = -3/4