Question

select the correct answer.
the fire department is making bags to hand out during a parade. some of the bags, x, will contain 3 stickers and some of the bags, y, will contain 4 stickers. the fire department has a total of 240 stickers. this equation represents the relationship:
$3x + 4y = 240$
which statement is true about the graph of the relationship?
the graph is a line that goes through the points (3,0) and (0,4).
the graph is a line that goes through the points (4,0) and (0,3).
the graph is a line that goes through the points (80,0) and (0,60).
the graph is a line that goes through the points (60,0) and (0,80).

Explanation:

Step1: Find x-intercept (y=0)

Set $y=0$ in $3x+4y=240$:
$$3x + 4(0) = 240$$
$$3x = 240$$
$$x = \frac{240}{3} = 80$$
So the x-intercept is $(80,0)$.

Step2: Find y-intercept (x=0)

Set $x=0$ in $3x+4y=240$:
$$3(0) + 4y = 240$$
$$4y = 240$$
$$y = \frac{240}{4} = 60$$
So the y-intercept is $(0,60)$.

Answer:

The graph is a line that goes through the points (80,0) and (0,60).