3. (12 points) It\'s Game Day, and the gates to Razorback Stadium open at 11:00

Question

3. (12 points) It's Game Day, and the gates to Razorback Stadium open at 11:00 AMLet S be th function that determines n, the number of Hog fans inside Razorback Stadium, in terms of t, the number of minutes since the gates opened. (a) What does the equation S(30) 29,000 represent in this context? (b) What does S-(55,000) represent in this context? (c) Explain why the expression S-1(S(20)) makes sense in this contert. Then evaluate S-1(S(20). (d) Suppose S is defined by S(t)-965t+50. Determine the definition for S-1

Explanation / Answer

a. S(30) =29000 represents 29000 fans are in after 30 minutes.

b. S-1(55,000) represents the time at which 55000 fans are inside.

c.S-1(S(20)) =20

d. S(t) = 965t +50

   y= 965t + 50

   switching t and y

t= 965y +50

y=(1/965)(t-50)

S-1(t)=(1/965)(t-50)

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