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Exam 2: Rates of Change and Linear Functions

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Question 1

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Which line appears to have the steeper slope?

A) ?
B) ?

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Question 2

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Identify A) the slope and B) the y-intercept.

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A. 5 B. 10

Question 3

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Which function pictured has the largest vertical intercept?

The average costs, by year, of a 3 bedroom, 2 bath, single-family house in Chetek, WI, are listed in this table. Fill in the average rate of change for each time period. (Round each answer to 2 decimal places.)

Construct the equation for this graph.

Which choice best describes the slope of the graph pictured?

Use the function given to evaluate f(-1), for the function:

The table below gives the life expectancy of a child (at birth) in the United States for selected years from 1920 to 1990. (Source: Department of Health and Human Services) Complete the sentence: Between 1930 and 1940, the life expectancy of a child increased by A)___________ years of life which is an average increase of B)___________ years of life expectancy each year. Round answers to 2 decimal places if necessary.

y is directly proportional to x and y is 17.5 when x is 5. Find a formula to describe y as a function of x.

The amount of weight that can be lifted by a simple machine is directly proportional to the the amount of force applied to the machine. If the machine is able to lift 308.75 pounds when a force of 65 pounds is applied, how many pounds can be lifted when a force of 106 pounds is applied?

The function, , gives the speed (in miles per hour) , s, of a car at time t minutes. What are the units of the 4 in the formula?

Find the slope of the line that passes through the points (-1,-0.8) and (3,26.4).

Which graph below is the graph of a linear function, , with b negative and m positive?

Find the value of x such that the line that passes through the points (-6,2) and (x,2) has a slope of .

The function, , gives the annual salary, S (in dollars) , of a teacher with y years of experience. What are the units of the 1,150 in the formula?

The following graph shows the average ACT score for students graduating from Mascoot High School by year. Find the slope of the line from 1990 to 1995.

Find the value of x that satisfies the equation.

Use the following to answer questions A moving company charges a flat rate of $104.83 per day plus $0.62 per mile. -Express the rate of change in dollars per mile.

The following table shows the size of the graduating senior class at BLE high school for several years. Which 5 year period has the largest positive rate of change in the size of the graduating class?

In 1780, a French balloonist by the name of Jacques Charles discovered that the volume of a fixed amount of gas held at a constant pressure is a linear function of its temperature. In a specific experiment it is observed that if 4 liters of oxygen at 0 Celsius is warmed to 100 Celsius, the volume of the oxygen increases to 5.46 liters. A) Determine v, the volume of oxygen (in liters) as a function of t, its temperature (in degrees Celsius). Write your answer in slope-intercept form. B) What is the volume of 4 liters of oxygen at 80 degrees Celsius? C) What temperature (in degrees Celsius) is required to cause a volume of 4.2 liters?Round all values to 4 decimal places.