Write or Identify a Linear Equation. Rate of Change. 2. What is the equation for a line that passes through the points (3,-4) and (-6, 20)?
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1 1. Which of the following situations represents a linear relationship? A company is increasing the volume of a cylindrical container by increasing its radius as the height remains fixed. A savings account gains 3 percent in interest annually. An employee is paid $12 for each hour worked. 2. What is the equation for a line that passes through the points (3,-4) and (-6, 20)? The enrollment at a university has doubled every 5 years since The graph above shows the amount Tina earns, w, before taxes after working h hours. How much does Tina make per hour? $4.00 $8.00 $10.00 $9.00
2 4. A linear function has a slope of and crosses the y-axis at -12. What is the equation of the line? 7. The total number of credit hours that remain for a student to earn a degree after s semesters have been completed successfully is given by 130-9s. Which statement is correct? The remaining credit hours decrease by 9 for each semester completed. The remaining credit hours decrease by 130 for each semester completed. The remaining credit hours increase by 9 for each semester completed. The remaining credit hours increase by 130 for each semester completed. 5. Which statement describes the rate of change of the following function? f(x) = 3x 8 The function has a constant rate of change, increasing for all x at a rate of 3. The function has a constant rate of change, decreasing for all x at a rate of 8. The function has a varying rate of change when x > 3. The function has a varying rate of change when x < The amount of fuel, in gallons, in a vehicle's fuel tank after driving m miles is m. Which statement is correct? For every mile the car is driven, the amount of fuel decreases by 0.03 gallons. For every mile the car is driven, the amount of fuel decreases by 20 gallons. For every mile the car is driven, the amount of fuel increases by 0.03 gallons. For every mile the car is driven, the amount of fuel increases by 20 gallons.
3 13. The cost, in dollars, of parking a car in a busy downtown area for h hours is $10 + $3h. Which statement is correct? For every hour the car is parked, the cost increases by $10. For every hour the car is parked, the cost increases by $3. For every hour the car is parked, the cost increases by $ Which statement describes the rate of change of the following function? f(x) = -2x 8 The function has a constant rate of change, decreasing for all x at a rate of 2. The function has a varying rate of change when x < 2. The function has a constant rate of change, decreasing for all x at a rate of 8. The function has a varying rate of change when x < 8. For every hour the car is parked, the cost increases by $ What is the slope of the line that passes through the points (2, -9) and (8, 9)? 16. 3x - 5y = 20 What is the y-intercept of the equation above? (-4, 0) (0, -4) (1 2 / 3, 0) (0, 4) Seconds No.
4 17. In P.E. class, the students recorded their number of heartbeats after exercising. Below is a chart with the number of heartbeats recorded after 30, 50, and 70 seconds of exercise. Passed Heartbeats What is the rate of change of the data in heartbeats per minute? 18. Which of the following equations matches the graph below? Which of the following situations represents a linear relationship? The population of a town increases by 1,000 people every year. The population in a town increases by 7 percent each year. A town loses one-half of its population every 10 years. The population of a town doubles every 10 years.
5 20. A line passes through (7,1) and (10,- 14). Write the equation of the line in general form. 21. Sending text messages from Katrina's cell phone costs $0.20 per text message. From last month, she has a credit on her bill for $ How much more money will she need to pay for text messages this month if she has sent 245 messages? 22. Identify the y-intercept of the line below. 4x + 10y = Richard is making a map for Geography. In order to draw the map, he must create a scale converting the measured inches on the map to actual miles. 5x + y = 36 5x - y = 34 5x + y = 34 5x - y = 2 $49.00 $40.50 $39.00 $37.00 (0, 40) (40, 0) (100, 0) (0, 100) Length in Inches Length in Miles 1 / / / / / / Use the table above to identify the scale he used for his map. 2 1 in = 12 miles 1 in = 36 miles 1 in = 9 miles 1 in = 18 miles
6 24. What is the slope of the line above? 25. A linear function has a y-intercept of 7 and a slope of. What is the equation of the line? 26. What is the slope of the line given by the following equation? y = -7x The graph shows the cost, C, of sending m text messages. What is the cost per message? $0.15 per message $0.25 per message $0.10 per message $0.05 per message
7 28. Which of the following equations matches the graph below? 29. The electric usage for a computer repair company was charted over four months. What is the rate of change for the bill during that time? KWH used Billing 652 $ ,056 $ ,431 $ ,763 $ Megan is going on a long distance road trip. She drives for 15 miles before being able to travel at a constant speed using cruise control. The equation y = 60x + 15 can be used to find her total distance traveled. If y is the total number of miles driven, and x is the number of hours driven after reaching 15 miles, which statement best describes the rate of change in the distance traveled? $1.62 per KWH $0.62 per KWH $0.16 per KWH $0.81 per KWH For every two hours, she will drive 60 miles. For every 15 hours, she will drive 75 miles. For every hour, she will drive 75 miles. For every hour, she will drive 60 miles.
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