Applying Linear Functions Answers

The graph shows the volume (y) of a cup of water (in ml). The cup has a small leak and the volume of water is decreasing at a constant rate each second (x). The situation can be expressed as a linear equation. Which values are correct for the slope and the y-intercept of the graph?

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The graph shows the growth of a tree, with x representing the number of years since it was planted, and y representing the tree’s height (in inches). Use the graph to analyze the tree’s growth. Select all that apply.

Which linear equation represents the scenario?

A construction company completes two projects. The first project has $3,000 in labor expenses for 60 hours worked, while the second project has $2,100 in labor expenses for 42 hours worked. The relationship between the company’s labor expenses and hours worked is linear. Which of the following would correctly calculate the y-intercept of the linear equation? Select all that apply.

The population of a city can be modeled with a linear equation, y = –80x + 3,450, where x is the number of years after 2000 and y is the city’s population. Write a description of the city’s population based on the equation.

A science class began recording the height of a plant each day. On day 10, it was 20 cm tall. On day 35, it was 57.5 cm tall. What does the slope of this scenario represent?

The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat rental fee for the week, plus a charge for each mile driven. The Yu's drove 222 miles; their car cost $110.30 for the week. The Sainz's drove 147 miles; their car cost $99.05. What is the linear equation that represents the cost of a rental car? Round to the nearest hundredth.

The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat rental fee for the week, plus a charge for each mile driven. The Yu's drove 222 miles; their car cost $110.30 for the week. The Sainz's drove 147 miles; their car cost $99.05. What is the linear equation that represents the cost of a rental car? Round to the nearest hundredth.

In which step did Emilia make an error?

Find the slope and y-intercept. Explain what each represents.

A linear function can be used to model the decrease in rainfall measured since 1880. The decrease in annual rainfall has been a constant 0.12 inches per year. Let x represent the number of years since 1880, when measurements began, and let y represent the annual rainfall. The initial measurement in 1880 was 54.3 inches. Use the linear function to predict the annual rainfall in the 101st year after recordkeeping began. Round to the nearest hundredth.