Exam 2: Rates of Change and Linear Functions

Determine whether the following data is linear. If it is linear, find the function and write your answer in form. If the data is not linear, enter Not Linear.

Find the equation for the line through the points (-6,1) and (3,1). Write the answer in slope-intercept form.

The table below shows tobacco production in the United States for the years 1991-1996. U.S. Tobacco Production: 1991-96 A) Find the total change in tobacco production (in millions of pounds) from 1993 to 1995. B) Determine by how many millions of pounds tobacco production has changed on average each year from 1993 to 1995.

Suppose the slope of a line is 7 and the line goes through the point (3, 20). Find the values of a, b, and c if points (a,-43), (b,-36), and (c,-99) are on the line.

The distance traveled (in miles), D, is directly proportional to time traveled (in minutes), t. If you traveled 18 miles in 20 minutes, A) find a formula that yields D as a function of t. B) Now use the formula to find your distance traveled (in miles) if you've traveled for 100 minutes.

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

Use the following to answer questions A moving company charges a flat rate of $104.83 per day plus $0.62 per mile. -If a move is 7 miles longer than expected, how much extra will it cost?

As a diver descends into the ocean, the pressure increases linearly with the depth (i.e. pressure is a linear function of depth). At the surface (a depth of 0 feet) the pressure is 15 pounds per square inch. At a depth of 33 feet below the surface the pressure is 30 pounds per square inch. A) Find a formula for the linear function that expresses pressure, P, in terms of depth, d.Write your answer in slope-intercept form and round values to 2 decimal places, if necessary. B) Use the function from part A to determine the pressure when the diver is 21 feet below the surface.Round your answer to 2 decimal places, if necessary. C) Use the function from part A to determine how deep can the diver go if the highest safe for his equipment and experience is 69 pounds per square inch.Round your answer to 2 decimal places, if necessary.

Which line has the steeper slope?

The following graphs shows the number of Nobel Prizes awarded in science for selected countries. Number of Nobel Prizes in Science Awarded for Selected Countries It appears as though the number of prize winners drastically declined in the 1970s (The number actually stayed the same.). What flaw in the construction of the graph leads to this impression?

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 = 4,822 + 7,147 years of education What is the rate of change of median personal total income with respect of years of education?

Find the average rate of change from data point C to data point B. A: (2,3), B: (-7,0), C: (0,-5), D: (-6,-6). Round your answer to 2 decimal places if necessary..

Put the following equation into y = b + mx form. 3x + 4y = -16

Which graph has a negative slope

The amount of money spent on food (F) each month for the average household is F(c) = 348.71 + 93.65c. Where c is the number of children in the household. Estimate the monthly food expense for a household with 5 children. (Round the answer to 2 decimal places.)

This table shows the final exam scores (y) compared to the hours studied (x) for 5 randomly selected students. A) . Use points A and D from this table to estimate the slope of the linear model for this data.Round the answer to 2 decimal places. B) . Use point A to determine the vertical intercept of the linear model.Round the answer to 2 decimal places.

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

The following table shows the size of the graduating senior class at BLE high school for several years. Is the average rate of change increasing, decreasing, or constant throughout?

Write the equation of the line parallel to and goes through the point (3, -2).

Find a linear equation that describes the statement. A car starts traveling at 20 mph and its speed is increasing by 6 mph each minute Write your answer in slope-intercept form, , in terms of speed, s, and time (in minutes), t.