Question

PLZ HELP!!!!!! tell witch of the answers are the answers

Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues placing pins so that each pin is 1 unit east and 3 units north in relation to the previous pin. Which of the following points will have pins? Select all that apply.


A coordinate plane has an x-axis labeled East from 0 to 10 in increments of 1 and a y-axis labeled North from 0 to 10 in increments of 1.


A.

(5, 6)


B.

(6, 8)


C.

(7, 10)


D.

(8, 17)


E.

(9, 18)


F.

(10, 21)

Answer 1

A. (5, 6)
E. (9, 18)
F. (10, 21)
Let's continue the pattern of +1 to the X value and +3 to the Y value for each point.
(4+1, 3+3) = (5, 6) which matches option "A".
(5+1, 6+3) = (6, 9) which doesn't match anything.
(6+1, 9+3) = (7,12) which doesn't match anything.
(7+1, 12+3) = (8,15) which doesn't match anything.
(8+1, 15+3) = (9, 18) which matches option "E"
(9+1, 18+3) = (10,21) which matches option "F"
And since there's no options with an X value greater than 10, we can stop.

Answer 2

Tomas put a head of the trail at (3, 0). Then he put another in 1 unit east and 3 units north of the coordinate. If he keeps repeating the same procedure, the coordinate would be:

1 = 3,0
2= 4,3
3= 5,6
4= 6,9
5= 7,12
6= 8,15
7= 9,18
8= 10,21
The function of the point would be y=3x-9

The answer would be
A. (5, 6)
E. (9, 18)
F. (10, 21)