Exam 2: Rates of Change and Linear Functions

Choose the equation that matches the graph.

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 = 4,370 + 5,796 years of education What would be the expected annual personal income of a male who had 0 years of education past eighth grade?

The function, , gives the weight (in ounces), w, of a cat that is a years of age. What are the units of the 3.9 in the formula?

Which function pictured has the largest slope?

Use the following to answer questions The following graph shows the percent of families in the U.S. living below the poverty level by year. -What is the rate of change in families living in poverty from B to I? (Round the answer to 3 decimal places.)

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

The attendance at a band's concerts has been steadily increasing, in March their concerts averaged 2,300 people and the attendance has increased 160 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. B) Use your function to find the band's average attendance in August.

Jessica works at Acme Manufacturing Company. After 5 years, she was earning $16.00 per hour. After 8 years on the job, she is now earning $20.50 per hour. She has received exactly the same annual raise each year she has been there. A) Write a linear function describing her hourly wage, w, as a function of years worked, y. B) What was her beginning hourly wage?

A house valued at $65,000 in 1988 increased in value to $110,000 in 2001 A) What was the absolute change in value? B) What was the average rate of change, in $ per year?

Complete the sentence to describe the graph shown:

Use the function given to evaluate for the function

A student who works as a waiter records the cost C of meals and the tip T left by diners. His data recorded for one evening are: A) Use linear regression to find T as a function of C. B) How much can the waiter expect his tip to increase from a $6 increase in the bill?

The table below is a data set corresponding to the times achieved every 10 meters by Carl Lewis in the 100 meter final of the World Championships in Rome in 1987. Find Carl Lewis's average speed (in meters per second) from the 70-meter mark to the 90-meter mark. Round your answer to 2 decimal places.

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

A company purchases a piece of machinery that is initially worth 25,000 dollars and its worth decreases 700 dollars each year. A) Find a linear equation that describes the statement.Write your answer in slope-intercept form, , in terms of the machinery's worth, W, and years since purchase, y. B) Use your function to find the machinery's worth 3 after being purchased.

The distance traveled (in miles), D, is directly proportional to time traveled (in minutes), t. If you traveled 16.8 miles in 21 minutes, find a formula that gives D as a function of t.

Find the average rate of change between data points A and B. A: (13,5), B: (-8,0), C: (-3,-1), D: (9,4). Round your answer to 2 decimal places if necessary..

When the price is $220, a company makes 1017 bicycles available for market. For each $4 increase in price, 17 more bicycles are made available. Let x denote the number of bicycles available for market and p the price. A) Find an equation that expresses x in terms of p.Write your answer in slope-intercept form, .. B) How many bicycle will be available if the price of bicycles is set at $200? C) What price (in dollars) should be set if 1187 bicycles are made available?

The amount of weight that can be lifted by a simple machine is directly proportional to the the amount of force applied to the machine. If the machine is able to lift 132.25 pounds when a force of 23 pounds is applied, find the equation for this relationship.

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