Exam 2: Rates of Change and Linear Functions

Complete the sentence to describe the graph shown: As x increases, the function A)____________(increases/decreases) at B)_____________ (an increasing/a decreasing/a constant) rate.

Rewrite the following expression without using an absolute value sign.

Assuming that the line through the given two points has the given slope m, find the value of t. (8,8) and (10,t); m = 1

Determine whether the two lines are parallel. and

The function, , gives the speed (in miles per hour), s, of a car at time t minutes. What are the units of the 45 in the formula?

Complete the table for the function M = 11 + 12d.

Find the equation of the line for the following set of conditions. The slope is 3 and the line passes through the point (0,9). Write your answer in slope-intercept form, .

For the following table, reinitialize the independent variable so it starts at 1970. (So the vertical intercept occurs at 1970.)

Find the equation of the line for the following set of conditions. The line is a horizontal line that passes through the point (9,-6).

Given the data below concerning oil prices, which point would best pair with point D to make a case for a slow increase in the price of oil?

A) Rewrite the equation in slope-intercept form, , and then identify B) the slope and C) the y-intercept.

Which function pictured has the largest vertical intercept?

The attendance at a band's concerts has been steadily increasing, in March their concerts averaged 1,900 people and the attendance has increased 200 people each month. A) Find a linear equation that describes the statement.Write your answer in slope-intercept form, , in terms of the concert attendance, A, and months since March, t.

Evaluate: |-8 - 1|

A company purchases a piece of machinery that is initially worth 10,000 dollars and its worth decreases 600 dollars each year. Estimate how many years it will take for the value of the piece of machinery to drop to $5,800.

If a is measured in miles, b is measured in seconds, and c is measured in dollars, then find the units on the rate of change given by:

A car starts traveling at 5 mph and its speed is increasing by 6 mph each minute. A) Find a linear equation that describes the statement.Write your answer in slope-intercept form, , in terms of speed, s, and time (in minutes), t. B) Use your function to find the speed, in miles per hour, of the car after 5 minutes.

Choose the graph that is described by the following sentence: As x increases, the function decreases at constant rate.

Graph the line with a slope of and goes through (2, -3).

Find the value of y so that the line through the points (-9.3,-8.9) and (-2.1,y) has slope -2.