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

question 217

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

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