Question

which of the following coordinate pairs shows the two patterns?
a. (0,0) ; (5,8) ; (10,16) ; (15,24)
b. (0,0) ; (5,5) ; (8,8) ; (13,13)
c. (0,0) ; (5,10) ; (8,16) ; (15,20)
d. (0,0) ; (8,5) ; (16,10) ; (24,15)

pattern\trule\tstarting number
x\tadd 5\t0
y\tadd 8\t0

Explanation:

Step1: Generate pattern x

Start at 0, add 5 each time:
$0, 0+5=5, 5+5=10, 10+5=15$

Step2: Generate pattern y

Start at 0, add 8 each time:
$0, 0+8=8, 8+8=16, 16+8=24$

Step3: Match to coordinate pairs

Pair corresponding terms: $(0,0);(5,8);(10,16);(15,24)$

Answer:

A. (0,0) ; (5,8) ; (10,16) ; (15,24)