234k views
4 votes
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.

1 Answer

1 vote

Answer:


y = -(2)/(3)x + 490

gradient = =
-(2)/(3)

y-intercept =
490

Explanation:

• The slope-intercept form of an equation takes the general form:


\boxed{y = mx + c},

where:

m = slope,

c = y-intercept.

• We are given the equation:


2x + 3y = 1470

To change this into the slope-intercept form, we must make y the subject:


3y = -2x + 1470 [subtract
2x from both sides]


y = -(2)/(3)x + (1479)/(3) [divide both sides by 3]


y = -(2)/(3)x + 490

• Comparing this equation with the general form equation, we see that:

m =
-(2)/(3)

c =
490.

This means that the gradient is
\bf -(2)/(3), and the y-intercept is
\bf 490.

User Tafa
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories