A typical song downloaded from the Internet is 4 megabytes in size. Lindy has satellite Internet, and her computer downloads music at a rate 256 kilobytes per second. If 1 megabyte equals 1,024 kilobytes, about how many songs can Lindy download in 2 hours?

Options

A. `128`
B. `450`
C. `1,800`
D. `1,920`

Answer

B

Explanation

Difficult: Easy
Category: Problem Solving and Data Analysis/ Rates, Ratios, Proportions, and Percentages
Strategic Advice: When converting lots of units, use the factor-label method and let the unit conversions guide you to the correct answer.
Getting to the Answer: The intial rate is given in kilobytes per second, the size per song is given in megabytes, and the question asks for the number of songs that can be downloaded in 2 hours. Arrange the given rates so that the units in the end result are what you're looking for :
`(256Kb)/(1sec)times(60sec)/(1min)times(60min)/(1hr)times2hr=1,843,200kb`
`1,843,200Kbtimes(1mb)/(1,024Kb)times(1"song")/(4mb)=450`songs
Lindy's computer can download about 450 songs in 2hours, which is (B).