Given:
The equations are,
Michael equation: d = 10t
Your equation: d = 7t + 100
Explanation:
(a)
Individual won 200 metr race. So d = 200.
Substitute 200 for d in your equation and solve for t.
[tex]\begin{gathered} 200=7t+100 \\ 7t=200-100 \\ t=\frac{100}{7} \\ =14.285 \\ \approx14.29 \end{gathered}[/tex]
So winning time is 14.29 seconds.
c.
Michael ran past an individual when both are at same distance. For same distance equation becomes,
[tex]10t=7t+100[/tex]
Solve equation for t.
[tex]\begin{gathered} 10t=7t+100 \\ 10t-7t=100 \\ 3t=100 \\ t=\frac{100}{3} \end{gathered}[/tex]
So after 100/3 seconds Michael caught with individual and won the race.
