Analyzing Functional Relationships Answers

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.

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?

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?

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.

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?

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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.

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.

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.

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.