1) If <em>x</em> is the number of years Naicul works, then the corporate job would earn him
49600<em>x</em> + 2000
dollars, while the teaching job would earn
50000<em>x</em>
dollars. Solve for <em>x</em> such that these two earnings are equal:
49600<em>x</em> + 2000 = 50000<em>x</em>
400<em>x</em> = 2000
<em>x</em> = 5
2) a) At a speed of 6.7 m/s, DJ would finish the race in
(100 m) / (6.7 m/s) ≈ 14.93 s
2) b) If DJ is given a headstart of <em>y</em> seconds, then Usain finishes the race in (9.58 + <em>y</em>) seconds. Solve for <em>y</em> such that this time matches DJ's time from part (a) :
14.93 s = (9.58 + <em>y</em>) s
<em>y</em> ≈ 5.35 s
