Exam 2: Rates of Change and Linear Functions

Which function pictured has the largest slope?

Find the equation for the line that contains the point (2,2) and is perpendicular to the line . Write your answer in slope-intercept form.

The following table shows the size of the graduating senior class at BLE high school for several years. Find the total change in the size of the graduating class between 1985 and 1990.

Find the value of y that satisfies the equation.

The number of nails required to hold the joint plates of a truss is directly proportional to the pounds of stress on the joint. If a joint carrying 874 pounds of stress requires 23 nails in the plate, how many pounds of stress can be carried by a joint with 35 nails in the plate?

Assuming that the line through the given two points has the given slope m, find the value of t. (5, 1) and (20, t); m = .

A small business purchases a piece of equipment for $1440. After 9 years, the equipment will be outdated and have no value. A) Write an equation giving the value V of the equipment as a function of t, the years since purchased. B) State the domain of the function. Write your answer in interval notation.

Create the step function from the graph:

Use the intercepts to calculate the slope of this line. (Give the answer in fraction form.)

The following graph shows the percentage of cars produced each decade by country. The graph gives the impression that production drastically decreased in the 1990s while this is not really true. What flaw in the construction of the graph leads to this impression?

The following table shows the number of new AIDS cases reported in Florida from 1986 to 1994. Calculate the average annual rate of change of new AIDS cases per year from 1988 to 1993. Round your answer to 2 decimal places.

Which line has the steeper slope? A. ‪ B. ‪

Construct the piecewise linear function for the graph

Rewrite the following expression without using an absolute value sign.

Create the graph for the function:

Search and Rescue Teams are often called upon to find lost hikers in remote areas of the Southwest. Members of the search team walk parallel to one another at a fixed distance d between searchers through the area being searched. The team's chance of finding the lost person is related to the distance d of separation. The closer together the searchers are, the better the chances of success. Based on a number of previous searches, the following data was found to be approximately true: If d = 24 ft., P (the probability of success) = 85%. If d = 56 feet, P = 45%. A) What is the dependent variable? B) What is the independent variable? C) Write the equation of the function that relates these two variables. D) If the team is satisfied with a success rate of 75%, how many feet apart should the searchers be?

If the function is decreasing, then the average rate of change is ___________.

Tell whether the graph has a positive or negative relationship.

Find the equation for the line that contains the point (-2,2) and is parallel to the line y = 1 - 7x. Write your answer in slope-intercept form.

Find the value of m that satisfies the equation.