Proportional Relationship

Question

Miguel is running 25 meters every 3 seconds and John is running 30 meters every 4 seconds, create a table for each boy showing up to at least 20 seconds.

Answer 1

they're arithmetic sequences

a1 = 0

a2 = 25

a3 = 50

an = (n-1)d = (n-1)25 where n=seconds divided by 3

as +(s/3 -1)25

a4 = 75

a5=100

a6 = 125

a(18/3) = (18/3-1)(25)

a6 = 5(25)

a7 = 6(25) = 150 after 21 seconds

for Miguel

for John

a1 = 0

a2 =30

a3 =60

a4 = 90

a5=120 meters in 5x4 = 20 seconds

a6 = 150 meters in 6x4 = 24 seconds

an=(n-1)d = (n-1)30 where n= s/4

as = (s/4 - 1)30

in 20 seconds

a20=(20/4)-1)30 = 4(30) = 120 meters in 20 seconds