FPC 1010: Math for the Arts
WINTER2021
Homework 2
NAME: _________________________________
SHOW ALL WORK!
Objective: Functions: Notation
1.The boiling temperature of water T(in Fahrenheit) can be modeled by the function where a is the altitude of water (in feet)a. Use T to make a table of values.b. Graph the function using the table from part (a)c. If the lowest and highest points on the surface of the Earth are about 36,000feet below sea level and about 29,000feet above sea level(peak of Mount Everest), respectively, determine a reasonable domain and range for the function T
(a). Show your work to determine the range. Explain your reasoning.
2.The amount of water in a bathtub can be modeled by the function w(t) = 60 6.5twhere t is the time in minutes and w(t) is the amount of water left in the bathtub. What is a reasonable domain and range for w(t)? Explain.For #3 and #4, tell whether the function is linear.3.4)(xxf4.27)(x xf
FPC 1010: Math for the Arts WINTER 2021 Objective:
Writing Equations from patterns found in relations For #5, write a function rule for the input-output table.5.Input x123456Output y48121620246.The average cruising speed for a passenger airplane is about 575 miles per hour. The distance, d, the air plane travels is a function of the number of hours, h, it travels at that rate. Write an equation to represent this function.7.Bananas cost $.57per pound. Write a function that models the cost y of x pounds of bananas.For #8, use inductive reasoning to find the next two numbers in each pattern.8.x123456y16192123??
