Analyzing Functional Relationships Answers

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.

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.

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 country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending for future years?

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.

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.

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?

In order to set a staff schedule, a fast-food restaurant manager looks at the average rate of customers served per minute during a lunch service. The manager notices that the time period starts with a sharp but steady increase, is followed by a period during which the restaurant is constantly serving the maximum number of customers per minute, and then has a slow but steady decline.

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 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.