Question 54313
x = number of people on the tour
48-x = price per person for x number of people,
for example one person(x=1) would give 48-1=47 dollars per person
or  10 people(x=10) would give 38 dollars per person
The revenue earned would be the cost per person times the number of people.
R(x)=(48-x)x  or  R(x)=48x-x^2
Written in standard form:   R(x)= -1x^2 + 48x + 0   a=-1, b=48, c=0
Vertex(min/max) at x = -b/2a = -48/(2*-1)=-48/-2 = 24
Maximum revenue for 24 people.
R(24)=(48-24)(24) = 24(24) = 570