Exam 2: Rates of Change and Linear Functions

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?

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

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

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 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.)

Which function pictured has the largest vertical intercept?

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.

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

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.

Which choice best describes the slope of the graph pictured?

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

Which line appears to have the steeper slope?

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

Find the value of x that satisfies the equation.

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?

Construct the equation for this graph.

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

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.

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.