SOLUTION: Topics In Contemporary Math Linear Growth can somone please help 2) Some restaurants hire people whose only job is to walk on the street and hand out free sample

Question 1192971: Topics In Contemporary Math
Linear Growth
can somone please help
2) Some restaurants hire people whose only job is to walk on the street and hand out free
samples. Of course, not every passerby takes the sample, but an average of 6 people per
half hour does. Suppose Ryley is partway through their shift of handing out the free
samples and has given out 14 samples so far.

a) Write an explicit formula for 𝑃𝑛, the number of free samples handed out after n halfhours.

b) If Ryley has 4 hours remaining in their shift, how many samples would they expect to
have given out by the time they get to go home?

c) Suppose Ryley, instead of a shift of a certain length of time, has to keep working until
they give away 50 free samples. How much more time does Ryley figure they have
to stay at work today?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Pn=6n; n= the number of half hour intervals
-
in 4 more hours or 8 more half-hour periods, he would be expected to hand out 6*8=48 more samples for 62 altogether that day,
-
he has 36 more samples to hand out. This would be 6 half hour sessions @6 samples per half hour to reach 50, so that is 3 more hours.

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