The scatter plot shows the number of football and baseball cards collected by a sample of third grade children. a coordinate plane titled number of football and baseball cards collected with x and y axis ranging from 0 to 100 in increments of 10. the y axis is titled baseball cards and the x axis is titled football cards. the coordinate plane contains 11 points. begin ordered pair 10 comma 60 end ordered pair labeled f. begin ordered pair 10 comma 90 end ordered pair labeled a. begin ordered pair 20 comma 40 end ordered pair labeled k. begin ordered pair 30 comma 40 end ordered pair labeled e. begin ordered pair 30 comma 60 end ordered pair labeled j. begin ordered pair 40 comma 40 end ordered pair labeled d. begin ordered pair 50 comma 40 end ordered pair labeled c. begin ordered pair 60 comma 20 end ordered pair labeled h. begin ordered pair 70 comma 20 end ordered pair labeled i. begin ordered pair 80 comma 20 end ordered pair labeled g. begin ordered pair 80 comma 50 end ordered pair labeled b. which children collected more football than baseball cards? dan, simian, jason, peter monique, jordan, peter, dan, simian, jason ruso, ryan, monique, jordan, peter dan, simian, ken, jimmy, jason name label dan a peter b ruso c dyna d jimmy e simian f jordan g ryan h monique i jason j ken k

The children who collected more football than baseball cards are:

Ruso, Ryan , Monique , Jordan , Peter.

We are given a set of values as:

( Football cards,Baseball cards)       Letter           Name

     (10,60)                                             F                 Simian

     (10,90)                                             A                  Dan

     (20,40)                                             K                  Ken

     (30,40)                                             E                 Jimmy

     (30,60)                                             J                  Jason

     (40,40)                                             D                   Dyna

     (50,40)                                             C                   Ruso

     (60,20)                                             H                   Ryan

     (70,20)                                              I                  Monique

     (80,20)                                             G                  Jordan

     (80,50)                                              B                   Peter

Hence, children who collected more football then baseball cards are the one whose first value of the ordered pair is more than the other.

Hence, They are:

     (50,40)                                             C                 Ruso

     (60,20)                                             H                 Ryan

     (70,20)                                              I                 Monique

     (80,20)                                             G                 Jordan

     (80,50)                                              B                  Peter.

(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

details

step-by-step explanation: