Exam 2: Rates of Change and Linear Functions

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 1989 and 1992, the enrollment increased by an average of _________ students each year. Round answers to 2 decimal places if necessary.

y is directly proportional to x and y is 20.8 when x is 4. A) Find a formula to describe y as a function of x. B) Use the formula to find y when x is 12.

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 missing number in the table for each time period. (Round each answer to 2 decimal places.)

Create the graph for the function:

The distance traveled (in miles), D, is directly proportional to time traveled (in minutes), t. If you traveled 19.2 miles in 24 minutes, find your distance traveled (in miles) if you've traveled for 53 minutes.

Find the equation of the line for the following set of conditions. The line is a vertical line that passes through the point (-5,2).

State whether the data shown in the table is exactly linear or approximately linear.

Find the slope of the line through the points

Find the slope of the line shown.

Use the function given to evaluate for the function

Graph the function

Find the value of y that satisfies the equation.

Find the value of y such that the line that passes through the points (0, y ) and (16,14) has a slope of .

Create an estimate of a linear model for this data. Use points B and D from this table to estimate the slope, and then use point B to estimate the vertical intercept. Round the answers to 2 decimal places.

Which function pictured has the largest slope?

The graph below displays the population of the Madison, WI by decade. What would the units of the rate of change be?

The following table gives information about the population of Barron County by decade. Construct a graph of the average rate of change by decade.

Find a linear equation that describes the statement. A cat is born (age 0) weighing 3.8 ounces and at 8 years of age the cat weighs 148.6 ounces. Write your answer in slope-intercept form, , in terms of weight, w, and age, a.

Find the equation of the line for the following set of conditions. The the line passes through the points (-5,34) and (4,-11). Write the answer in slope-intercept form, .

Assuming that the line through the given two points has the given slope m, find the value of t. (t, 5) and (-8, 2); m = .