Question

A radio announcer asked her listeners which type of music they preferred. The results are below. which answer choice lists the results from greatest to least perefence?F. 0.10, 25%, 0.20, 45/100G. 25%, 45/100, 0.20, 0.10H. 0.10, 0.20, 25%, 45/100J. 45/100, 25%, 0.20, 0.10

Answer 1

To compare the preferences is best to express them using the same form, for example, express all values as decimal values:

To express 25% as a decimal value you have to divide it by 100:

`(25)/(100)=0.25`

To express the fraction 45/100 as a decimal value you have to divide 45 by 100

`45/100=0.45`

So, the observations expressed as decimal values are:

Rap 0.25

Norteno 0.45

Kazz 0.20

Tejano 0.10

Now that all numbers are on the same form you can order them from greatest to least. To do so, you have to compare the digit on the first decimal place, if the first digit is equal, you have to compare the digit on the second decimal place.

The number with the greatest decimal value is 0.45

Then you have 0.20 and 0.25 both have the same first digit, so you have to compare the second digits. "0" is less than "5" so, 0.20 is less than 0.25.

The least value is 0.10.

So ordered from greatest to least the values are:

`\begin{gathered} 0.45;0.25;0.20;0.10= \\ (45)/(100);25\%,0.20;0.10 \end{gathered}`

The correct option is J.