Question

One of the rules in a public speaking contest requires contestants to speak for as close to 55 minutes (300(300 seconds)) as possible. Contestants lose 33 points for each second they speak either over or under 55 minutes. Which expression below can be used to determine the number of points a contestant loses if she speaks for xx seconds? Choose 1 answer: 3|x-300|

Answer 1

Solution:

Duration of time for which a contestant have to speak = 5 minutes (300 Seconds)

Point lost by a contestant for over-speaking that is for more than 5 minutes for each second = 3 points

Point lost by a contestant for speaking less than 5 minutes on each second = 3 points

So, the expression which can determine ,the number of points a contestant loses if she speaks for x seconds.

⇒Number of points a contestant loses if she speaks for x seconds=$3 \times\left |x-300 \right |$

For, example if a contestant speaks for 290 seconds,Points lost by contestant = $3 \times\left |290-300 \right |$=3 × 10= 30 Points

If a contestant speaks for 305 seconds,Points lost by contestant = $3 \times\left |305-300 \right |$=3 × 5= 15 Points

Option (A)= $3 \times\left |x-300 \right |$ is right choice describing above situation.