Respuesta :
the answer is the nature center because it cost 183 dollars for the nature center and the zoo is 257 dollars the answer is nature center
A. Let the amount charged by the nature center or zoo be $y.
Let the total number of students be x.
According to the question,
The nature center charges $4 per student plus $95 for a one hour naturalist program.
[tex] y=4x+95 [/tex] (Equation 1)
The zoo charges $9 per student plus $75 for a 1 hour tour guide.
[tex] y=9x+75 [/tex] (Equation 2)
B. Solving equations 1 and 2 by substitution method.
Substituting the value of y from equation 2 in equation 1.
[tex] 9x+75=4x+95 [/tex]
[tex] 5x=20 [/tex]
x=4
Substituting the value of y in equation 1, we get
[tex] y=4 \times4 +95 [/tex]
y = 111
Substituting the value of y in equation 2, we get
[tex] y=9 \times4 +75 [/tex]
y= 111
(4,111) and (9,111) are the required solutions.
C. If there are 22 students in a class. We have to take x = 22
Charges of nature center:
[tex] y=4x+95 [/tex]
[tex] y=4 \times 22 +95 [/tex]
y= $183
Charges of zoo:
[tex] y=9x+75 [/tex]
[tex] y=9 \times 22 +75 [/tex]
y= $273
Since 183<273, therefore Nature center cost less.
