Solve the Problem Using a Graphing Calculator $22 \mathrm { ft } / \mathrm { sec }$

Multiple Choice

Solve the problem using a graphing calculator.
-Anne can sprint at a rate of $22 \mathrm { ft } / \mathrm { sec }$ . Carol can sprint at $27 \mathrm { ft } / \mathrm { sec }$ . Carol gives Anne a $10 - \mathrm { ft }$ head start. The parametric equations below can be used to model a race.
$$\begin{array} { l l } x _ { 1 } = 22 t , & y _ { 1 } = 3 \\x _ { 2 } = 27 t - 10 , & y _ { 2 } = 5\end{array}$$
Find a viewing window to simulate a 200 -yd dash. Graph simultaneously. Who is ahead after 8 seconds and by how much?

A) Carol is ahead by 40 feet
B) Carol is ahead by 30 feet
C) Anne is ahead by 30 feet
D) Anne is ahead by 10 feet