Analyzing Functional Relationships Answers

The rate of collection by a solar panel decreased steadily throughout the day due to increasing cloud cover until it reached a constant amount. Later in the day, there were two short periods where the Sun appeared, only for the cloud cover to return.Which graph models the amount of energy collected depending on the time since the cloud cover began?

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.

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?

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.

A fountain sprays water into a pool as part of the filtration system. The projected path of water is modeled by the function given in the table, where x represents the time in seconds since the water left the fountain and f(x) represents the height in feet above the pool’s water line.

Based on an architectural drawing, a roof slopes to a drain along the function represented in the table that defines the edge of slope, where x is the horizontal distance in feet and f(x) is the vertical distance 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 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.

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.