You can type 105 words in two minutes. Your friend can type 210 words in four minutes. Are these rates proportional? Explain.

Question

You can type 105 words in two minutes. Your friend can type 210 words in four minutes. Are these rates proportionl? Explain.

Answer 1

Bam is trying way too hard. Also, what does "fictive" mean? It means "imaginative" and doesn't apply here.

 

The two typing rates are not only proportional, they are equal: 52.5 words per minute (not 50.25). This is a proportion of 1.

 

Between two different typing rates, they are ALL proportional!

 

For example, if I type 20 words per minute and my friend types 200 words per minute (wpm), the proportion is 10.

If I type 58 wpm and my friend types 62 wpm, the rates are close but not equal. The proportion in this case is 31/29.

Etc. for ANY two non-zero wpm rates.

Answer 2

The two rates are proportional to the fictive rate of 50.25 words per minute that yields 105 words in two minutes for "me" by multiplying both numerator and denominator of the fictive rate by factor 2 and 210 words in four minutes for "my friend" by multiplying both numerator and denominator of the fictive rate by factor 4.