Exam 2: Rates of Change and Linear Functions

The function, , gives the weight (in ounces), w, of a cat that is a years of age. What are the units of the 19.2 in the formula?

Use regression to find a linear function that best fits the data in the table: Round values to 2 decimal places, if necessary.

The function, , gives the annual salary, S (in dollars), of a teacher with y years of experience. What are the units of the 34,000 in the formula?

The attendance at a band's concerts has been steadily increasing, in March their concerts averaged 2,400 people and the attendance has increased 100 people each month. Estimate in which month the bands attendance will reach 2,700 people.

Use the following to answer questions A moving company charges a flat rate of $104.83 per day plus $0.62 per mile. -Jamie received an estimate for a move of $197.21. The actual move was 14 miles shorter than expected. What was the actual cost of the move?

Which function's graph has a steeper slope?

Use the function given to evaluate f(-3), for the function:

A company purchases a piece of machinery that is initially worth 25,000 dollars and its worth decreases 600 dollars each year. 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.

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. -Which slope is larger and why: From B to C, or from G to H?

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

The table shows the number of manatees killed by power boats in Florida from 1986 through 1990. Find A) the total change in the number of manatees killed annually from 1987 to 1989 and B) the average rate of change of the number of manatees killed annually from 1987 to 1989.

By analyzing sales figures, the accountant for the Johnson Stereo Company knows that 275 units of a CD player can be sold each month when the price is $195 per unit. The figures also show that for each $20 hike in price, 11 fewer units are sold monthly. Let x denote the number of units sold per month and p the price per unit. Find an equation that expresses x in terms of p. Write your answer in slope-intercept form, . Round values to 2 decimal places.

Which equation has the same slope as y = -4 + 8x?

Given a line segment with endpoints (7, -3) and (17, -11), is does the point (12, -7) lie on that line segment?

Find the slope of this linear function from the table.

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. Over which of the following distance intervals was Carl Lewis's average speed the fastest?

Construct an equation of the form y = b + mx, with slope = 0 and vertical intercept = -2.

Find the slope of the line through the points (-9.2,6.3) and (1.6,27.9).

Which graph represents your distance from home if you drive casually to work in the morning and then hurry home after work?

The following table gives information about the population of Barron County by decade. Assuming the annual rate of change was equal to the average rate of change, what would you predict the population (in 1,000s) to be in 2008? (Round the answer to the nearest 0.1 thousand.)