Graphing and Writing Equations of Lines Worksheet

Graphing and Writing Equations of Lines Worksheet

Linear Models

Section 2.4

Suppose an airplane descends at a rate of 300 ft/min from an elevation of 8,000 feet.

Write an equation to model the plane’s elevation as a function of the time it has

been descending.

Suppose that tuition at a state college was $3,500 per year in 1995 and has been

increasing at a rate of $225 per year. Write an equation to model the cost of tuition as a

function of time. Use that equation to predict the cost of tuition in the year 2007.

A storage facility changes $60 for 200 square feet of storage and $160 for 325 square feet of storage. Find a linear equation to model the data.

Tony’s company manufactures iPods. The company will make $150,000 profit if it manufactures 100,000

iPods and $1,750,000 profit if it manufactures 500,000 iPods. The relationship between the number of iPods manufactured and profit is linear. Write an

equation to model the relationship.

The table below shows the average fuel efficiency in miles per gallon of new cars manufactured

during the years listed.

The table below shows the number of women serving in the United States Congress during the

years 1987 – 1999.

The table below shows the years of experience for eight technicians at Lewis Techomatic and the

hourly rate of pay each technician earns.

Anna’s running speed after 5 minutes was 10 mph; at 10 minutes, 8 mph; at 15 minutes, 5 mph and at 20 minutes, 4 mph. Write the data in the table and graph the data. Write the equation of your trend line and predict her running speed at

30 minutes.

Hooray! We can use the calculator!

Using your calculator, find the line of best fit for the set of data. The table represents US Crime Rate (per 100,000 inhabitants). Predict the number of crimes for the year 2008.

Year # of Crimes

1995 5275.9

1996 5086.9

1997 4930.0

1998 4619.3

1999 4266.8