Analyzing Functional Relationships Answers

An airline company uses the graph of the function below to display the percent above or below the average price per ticket for a specific route, where x is the price the passenger paid and f(x) is the positive percent difference.

Consider the graph that represents the path of a golf ball, where x is the distance traveled in feet and f(x) is the height of the ball in yards.

The computer rendering of a mural in a town’s square uses the function represented in the table to define the outline of a mountain in the town’s logo, where x is the distance in feet from the edge of the mural and f(x) is the distance from the ground in feet.

A small dairy farm writes a business plan. It includes a graph showing the estimated amount of feed used each day in thousands of pounds, y, compared to the number of years since the farm began operating, x.

The graph shows the path of light from a wall reflecting off mirrored ceiling tiles, where x is the distance from the wall in feet and y is height in feet along the wall where the light source hangs.

An investment group compares returns on an account against the function represented in the table, where x is the time in years and f(x) is the total return on investment.

A game requires players to throw a ball into a target. The table below shows values from the function that represents one path of a thrown ball, where x represents the horizontal distance the ball travels in feet and f(x) represents the height of the ball in feet.

The graph models the decay of a sample of iodine-125, where x is the time that has passed and y is the amount remaining in the sample in grams.

An arch at a new amusement park is constructed with two vertical walls and a parabolic arch top, where x represents the horizontal distance in feet and f(x) represents the height in feet. The y-axis represents the vertical left edge of the arch. Since the arch and its base are symmetrical, complete the equation for the line containing the vertical, right edge of the arch. x =

A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches $95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models the function?