A group of 13 people are going out on a lake. Five of them will fit on one sailboat, and the rest
will be divided among 2-person canoes. This situation can be modeled by the equation 13 = 2c +
5. What does the solution to this equation represent?
A. Each canoe will carry 4 people.
B. They will take 4 canoes.
C. They will take 9 canoes.
D. They will take 3 canoes and one sailboat, for

b

Step-by-step explanation:

Because if there are 13 people and 5 on a sailboat that leaves 8. 2 people in a canoe so 4 canoes for the eight people.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be