NAME DATE PERIOD
Ch 3 Review 2014-2015 SCORE ______
1. The top of Angie’s ladder is resting against the side of her house 22 feet above the ground. If the base of the ladder is 5 feet from the house, what is the slope of the ladder? ______
2. The framing gallery can frame 4 pictures per hour. Write and solve a direct variation equation to find how many pictures they can expect to frame in a 612-hour shift. ______
3. Store A is offering four bottles of nail polish for $15. The costs at Store B are shown in the table. Assume the cost for the nail polish varies directly with the number of bottles. At which store does the nail polish cost more? Explain.
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4. What is the slope and y-intercept for the graph of the equation –8x + y = –12? ______
5. An albatross is flying at a height of 300 feet and slowly descending at a rate of 73 feet per second. The equation for the height of the bird y is y = 300 – 73x, where x is the number of seconds in descent. What do the slope and y-intercept represent? ______
6. The table shows the items and their individual prices that Lakasha brought to donate to a charity. Altogether, she spent $420. This is represented by the equation 20x + 70y = 420. What are the x- and y-intercepts?
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7. The table shows the costs of oil paint tubes and paint brushes at an art supply store. The store spent $2,700 on a recent shipment. What is the slope and y-intercept of the line that represents the cost of this shipment?
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SCORE ______
8. Lisa is a lifeguard at a community pool. The table shows the numbers of lifeguards needed for certain numbers of swimmers. Write an equation that represents the relationship between the number of swimmers y and the number of lifeguards x. ______
9. Write an equation in point-slope form and slope intercept form for the line that passes through (2, 5) and has a slope –4.
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10. Determine whether the linear function is a direct variation. If so, determine the constant of variation. If not, explain why not.
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Use a problem-solving model to solve each problem.
Course 3 • Chapter 3 Proportional Relationships and Slope 31
NAME DATE PERIOD
11. The points in the table below lie on a line. What is the value of y when x is 8?
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13. The tables show the coordinates of two slope triangles for a line. What is the slope of the line?
12. The table below shows the print speed of an office printer. How many pages can the printer print in two hours?
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14. Intercon Phone Company’s normal rates are $10.00 as an initial fee plus $1.00 per minute for each call. For the month of June, the company reduces its call rates to $0.75 per minute. Write an equation in slope-intercept form that represents the new cost y for x minutes of calls during the month of June. What is the value of mb?
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Course 3 • Chapter 3 Proportional Relationships and Slope 31
NAME DATE PERIOD
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Course 3 • Chapter 3 Proportional Relationships and Slope 31