Find (a) thr distance d(A,B) between the points A and B and (b) the midpoint of the segment AB
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a) Each year the price increases by 3%, so if burger initially has price , then next year its price will be
. After another year, this price will increase by 3%, so that the burger would cost
.
b) If the same pattern continues, then 10 years later we should expect the price to be .
c and d) The pattern appears to be that the price of the burger after
years, starting at a price
, is
which forms a geometric sequence that diverges. This necessarily means that the price would eventually exceed $20, and we find that that time comes about
years later.