Answer gets a brainliest mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3 marbles into a marble jar. when the jar has 100 marbles or more, the class has a party. right now, the jar contains 24 marbles. let r represent the number of additional times the class is rewarded. write an inequality to determine how many more times the class needs to be rewarded in order to earn a party.

When the students behave well the reward is = 3 marbles.

Party is given when the jar has = 100 or more marbles means marbles must be greater than equal to 100

Currently the jar has = 24 marbles

so, the class behaved well times till now

Let the number of additional times the class is rewarded be represented by = r

So, Inequality becomes

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

answer: -1

step-by-step explanation: