SOLUTION: Lyft is offering a deal of 0.09 cents per minute if you are driving to anywhere under 15 minutes. If the location is over 15 minutes, it doubles to 0.18 cents per minute. What’s

Algebra ->  Functions -> SOLUTION: Lyft is offering a deal of 0.09 cents per minute if you are driving to anywhere under 15 minutes. If the location is over 15 minutes, it doubles to 0.18 cents per minute. What’s      Log On


   

Question 1160543: Lyft is offering a deal of 0.09 cents per minute if you are driving to anywhere under 15 minutes. If the location is over 15 minutes, it doubles to 0.18 cents per minute. What’s the domain and if possible the Range
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Those rates of .09 cents per minute and .18 cents per minute are a steal -- 15 minutes for 15(.09) = 1.35 cents (presumably rounded up to 2 cents), or a 100 minute ride for 100(.18) = 18 cents....

I will assume the quoted decimal rates are dollars per minute and not cents per minute.....

Domain: allowable numbers of minutes.

Obviously the minimum number of minutes is 0.

There is theoretically no upper limit of the number of minutes, if you wanted the ride to go forever. So the domain might be [0, infinity).

Or it is possible that cost is based on whole numbers of minutes; in that case the domain would be the set of non-negative integers.

Range: allowable cost of the ride

Again obviously the minimum cost is 0.

Mathematically, the range is all non-negative numbers.

Realistically, the range is all non-negative integer numbers of cents.

Or again, if the charge is only for whole numbers of minutes, since 18 cents is a multiple of 9 cents, the range might be all non-negative integer multiples of 9 cents.