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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Definitions:

Spinal Cord

The long, thin, tubular bundle of nervous tissue and support cells that extends from the brain down the length of the spine, part of the central nervous system.

Cerebrum

The largest part of the brain, responsible for cognitive functions such as thought, memory, problem-solving, and decision making, as well as processing sensory and motor information.

Muscle Tone

The continuous, partial contraction of individual muscles and muscle groups.

Posture

The position in which someone holds their body when standing or sitting.