A movie theater seats 200 people. For any show, the amount of money the theater makes is a function of the number of people, n, in attendance. If a ticket costs $4.00, find the domain and range of...

A movie theater seats 200 people. For any show, the amount of money the theater makes is a function of the number of people, n, in attendance. If a ticket costs $4.00, find the domain and range of this function.


PRE-CALCULUS 1 SUMMER 2021 ASHESI UNIVERSITY Homework assignment 2 Due: Tuesday 27th @11:59 on Canvas Question 1 The table below shows ?(?), the number of sections of Economics 101, as a function of ?, the number of students in the course. If ? is between two numbers listed in the table, then ?(?) is the higher number of sections. a. Evaluate and interpret. i. ?(150) ii. ?(80) b. Solve for ? and interpret. i. ?(?) = 4 ii. ?(?) = ?(125) Question 2 A movie theater seats 200 people. For any show, the amount of money the theater makes is a function of the number of people, n, in attendance. If a ticket costs $4.00, find the domain and range of this function. Question 3 Write formulas for the piece functions. Question 4 A museum charges $40 for a group of 10 or fewer people. A group of more than 10 people must, in addition to the $40, pay $2 per person for the number of people above 10. For example, a group of 12 pays $44 and a group of 15 pays $50. The maximum group size is 50. I. Draw a graph that represents this situation. II. Write a formula for the above situation. III. What are the domain and range of the cost function? Question 5 The radius, ?, in centimeters, of a melting snowball is given by ? = 50 − 2.5?, where ? is time in hours. The snowball is spherical, with volume ? = 4??3 3 ??3. Find a formula for ? = ?(?), the volume of the snowball as a function of time.