Answer:
[tex]P(2)=(32,46)[/tex]
Step-by-step explanation:
From the question we are told that:
Height of robot [tex]h=12 inches[/tex]
Weight of robot [tex]W=4[/tex]
Start position [tex]P(1)=(4,4)[/tex]
Per minute distance [tex]d=(4,6)[/tex]
Total time [tex]T=7min[/tex]
Generally the distance traveled in 7 minutes [tex]d_T[/tex] is mathematically given by
[tex]d_T=d*T[/tex]
[tex]d_T=(4.6)*7[/tex]
[tex]d_T=(28,42)[/tex]
Generally the position of the robot after 7 minutes is mathematically given by
[tex]P(2)=P(1)+d_T[/tex]
[tex]P(2)=(4,4)+(28,42)[/tex]
[tex]P(2)=(32,46)[/tex]
Therefore the position of the robot after 7 minutes is
[tex]P(2)=(32,46)[/tex]
