COLOR THEME a QZOOM
2. A child attached a spool of string to a kite and started to fly the kite. The elapsed time in
seconds and the length, in feet, of the string between the spool and the kite is shown in
the table below.
Elapsed Length of
Time, x String, y
(sec) (ft)
0
50
2
60
4
70
6
80
8
90
100
10
What information is provided by the slope of the linear equation that models this data?

Same length is comparing because it’s saying its the same and not different

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.