Amber coaches soccer and volleyball. She coaches both sports for a total of 10 hours each day. The soccer practice lasts 1 hour more than twice as long as the volleyball practice.
(a) Write a system of equations to model the situation. Use v for the number of hours Amber coaches
volleyball in a day and s for the number of hours she coaches soccer.
(b) How many hours each day does Amber spend coaching each sport?
Show your work.

A) 10 = v + (2v + 1)

B) Volley ball practice: 3 hours

Soccer practice: 7 hours

a) x+y=10

   x=2y+1

2y+1+y=10

   3y+1=10

       -1   -1

3y=9

y= 3hrs of volleyball

x=2(3)+1

x=7hrs of soccer

b) 7hrs and 3hrs

12/11c

or

12

c

11

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