Question

A one-minute advertisement on a local television station during prime time (8- 10 p.m. on weeknights) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis and Giant Ones.

Answer 1

The cost of the advertisement per second is $213.33 to the nearest cent.

Step-by-step explanation:

To find the cost per second of the advertisement, we need to convert the cost from dollars per minute to dollars per second. We can use dimensional analysis to do this.

First, we know that there are 60 seconds in one minute. So, we can set up a conversion factor to convert from minutes to seconds:
1 minute = 60 seconds

Next, we set up a ratio using the given cost per minute and the conversion factor:
$12,800/1 minute * 1 minute/60 seconds = $213.33/second

Therefore, the cost of the advertisement per second is $213.33 to the nearest cent.

Answer 2

Cost = $12,800
Time = 2 hours, 8 - 10 pm

Cost per hour = ($12800)/(2) = $6400 per hour

There are 60*660 = 3600 seconds per hour.
Therefore the cost per second is
($6400)/(3600 s) = $1.7778 per second = $1.78 per second (nearest cent)

Answer: $1.78 (nearest cent)