Exam 2: Rates of Change and Linear Functions

Find the equation of the line through the points (5, 8) and (-20, -12). Write the answer in slope-intercept form.

Put this equation into slope-intercept form. 24x + 4y = 24

The function, , gives the weight (in ounces), w, of a cat that is a years of age. Find the weight (in ounces) of a 7-year old cat.

Find the equation of the line for the following set of conditions. The slope is and the line passes through the point (-15, -16). Write the answer in slope-intercept form, .

The following equation represents the best-fit regression line for median personal total income of adult males vs. years of education past eighth grade in Northern Wisconsin. Median personal income = 4,131 + 6,503 years of education If a male desired to earn $30,143 / year, how many years of education past eighth grade should they pursue?

Find the value of x so that the line through the points (x,-9) and (6.8,7.6) has slope 1.

Which of these two graphs makes the best case for the rapid increase of the number of female soldiers in the U.S. marine corps?

Construct an equation of the form y = b + mx, with slope = 4 and vertical intercept = 2.

Which of these equations has the steepest slope?

The function, , gives the annual salary, S (in dollars), of a teacher with y years of experience. What are the units of the 38,000 in the formula?

Find a linear equation that describes the statement. At the age of 7 a person is 47 inches tall and at the age of 11 the person is 55 inches tall. Write your answer in slope-intercept form, , in terms of height, h, and age, a.

When there is a 10 mile per hour wind, the wind chill, W, is given by the function , where T is the air temperature (in degrees Fahrenheit). Find the wind chill with a 10 mile per hour wind and a -13 degree Fahrenheit air temperature. (Round the answer to 3 decimal places.)

Because of a state budget crisis a publicly supported college is being forced to raise more of its funds from private sources. Their tuition in September 2007 is $6,000; and over the next 5 years they must gradually raise their tuition until it becomes $9,000 in September 2012. A) Find a linear formula for tuition, T, for any school year, s, during the period of tuition raises. Count school years, s, starting from 2007 as year zero. B) What is the domain of the function? C) What is the total tuition for a student starting in September 2008 and finishing in 4 years? D) How much more would the total tuition be if the student started a year later and finished in 4 years?

Which graph has the same slope as the graph below.

The following table shows the size of the graduating senior class at BLE high school for several years. Find the average rate of change in the size of the graduating class between 1990 and 1995. (Round the answer to 2 decimal places if necessary.)

Find the equation for the line pictured. Write your answer in slope-intercept form.

The number of students enrolled in higher education in the state of Kentucky for the years from 1985 through 1992 is displayed in the following table. Complete the sentence: Between 1986 and 1989, the enrollment increased by A)___________ students which is an average increase of B)___________ students per year. Round answers to 2 decimal places if necessary.

Use the graph below to complete the sentence. The average rate of change from point B to point C is:

Use the following to answer questions A contractor charges by the square foot for pouring concrete sidewalks and driveways. -Matt's driveway was 667 square feet and cost $3,435.05 to have concrete poured. If Adam's driveway costs $1,112.40 and Dixie has a driveway that is 116 square feet larger, how much would Dixie expect to pay?

Use points D and E from this table to estimate the slope of the linear model for this data. Round the answer to 2 decimal places.