Question

Hello I need help. I already answered the first question. (I hope it is correct)

Answer 1

Given:

The equations are,

Michael equation: d = 10t

Your equation: d = 7t + 100

Step-by-step explanation:

(a)

Individual won 200 metr race. So d = 200.

Substitute 200 for d in your equation and solve for t.

`\begin{gathered} 200=7t+100 \\ 7t=200-100 \\ t=(100)/(7) \\ =14.285 \\ \approx14.29 \end{gathered}`

So winning time is 14.29 seconds.

c.

Michael ran past an individual when both are at same distance. For same distance equation becomes,

`10t=7t+100`

Solve equation for t.

`\begin{gathered} 10t=7t+100 \\ 10t-7t=100 \\ 3t=100 \\ t=(100)/(3) \end{gathered}`

So after 100/3 seconds Michael caught with individual and won the race.