SS- Linear- Chapter 4

Multiple Choice
Identify the choice that best completes the statement or answers the question.

____	1.	What is the slope of the line that passes through (a, b) and (–a, b).
a.	0	c.		
b.		d.	undefined	

____	2.	A conveyor belt runs between floors of a building as pictured below. Find the slope of the belt as a positive number.

a.	undefined	c.		
b.		d.	0	

Source: www.cityoforlando.net/public_works/stormwater/rain/rainfall.htm

____	3.	For which one month period was the rate of change in rainfall amounts in Orlando the least?
a.	Jan. - Feb.	c.	July - Aug.	
b.	Aug. - Sept.	d.	Feb. - March	

Source: U.S. Bureau of Census

____	4.	For which 10-year period was the rate of change of the population of Green Bay the greatest?
a.	1990 - 2000	c.	1980 - 1990	
b.	1970 - 1980	d.	1975 - 1985	

____	5.	For which 10-year period was the rate of change of the population of Green Bay the least?
a.	1990 - 2000	c.	1980 - 1990	
b.	1970 - 1980	d.	1975 - 1985	

____	6.	Find the rate of change from 1970 to 1980.
a.	17 thousand/yr	c.	1.7 thousand/yr	
b.	2 thousand/yr	d.	1.8 thousand/yr	

Find the slope of the line that passes through the pair of points.

____	7.	(–3, –2), (5, 4)
a.		c.		
b.		d.		

____	8.	(2, –3), (–5, 1)
a.		c.		
b.	undefined	d.		

Write a direct variation equation that relates x and y. Assume that y varies directly as x. Then solve.

____	9.	If y = –15 when x = –5, find x when y = 12.
a.	y = –3x; –4	c.	y = 3x; 4	
b.	y = 3x; 3	d.	y = 2x; 4	

____	10.	If y = 5 when x = –10, find y when x = 1.
a.	y = x; 	c.	y = x; 	
b.	y = x; 	d.	y = x; 	

Write a direct variation equation that relates the variables. Then graph the equation.

____	11.	The total cost is C for n bags of peanuts priced at $2.98 per bag.
a.	
	
b.	
	
c.	
	
d.	

____	12.	Roasted cashews are $5.98 per pound. The total cost of p pounds is C.
a.	
	
b.	
	
c.	
	
d.	

____	13.	Katie can walk at a rate of 4 miles per hour. Her total distance in t hours is d.
a.	
	
b.	
	
c.	
	
d.	

____	14.	Alex can ride his bike at a rate of 7 miles per hour. His total distance in t hours is d.
a.	
	
b.	
	
c.	
	
d.	

____	15.	Deicer costs $1.75 per pound. The total cost of p pounds is C.
a.	
	
b.	
	
c.	
	
d.	

____	16.	The perimeter P of an equilateral triangle is 3 times the length of a side s.
a.	
	
b.	
	
c.	
	
d.	

____	17.	Luis drives at a rate of 50 miles per hour. His total distance in t hours is d.
a.	
	
b.	
	
c.	
	
d.	

Write an equation of the line with the given slope and y-intercept

____	18.	slope: , y-intercept: –3
a.	y = x – 3	c.	y = x + 3	
b.	y = x – 3	d.	y = x – 3	

Beach Bike Rentals charges $5.00 plus $0.20 per mile to rent a bicycle.

____	19.	Graph the equation needed to represent the cost at Beach Bike Rentals.
a.		
b.		
c.		
d.		

Write a linear equation in slope-intercept form to model the situation.

____	20.	The temperature is 38 and is expected to rise at a rate of 3per hour.
a.		c.		
b.		d.		

____	21.	A taxi driver charges $5 plus $0.30 per mile.
a.		c.		
b.		d.		

Write an equation of the line that passes through the pair of points.

____	22.	
a.	y = –8x + 22	c.	y = x – 	
b.	y = –8x + 	d.	y = –8x – 	

Write the point-slope form of an equation for a line that passes through the point with the given slope.

____	23.	(–4, 3), m = 1
a.	y – 3 = 1(x + 4)	c.	y – 3 = 1(x – 4)	
b.	y + 3 = 1(x + 4)	d.	y – 3 = –(x + 4)	

____	24.	(–6, –6), m = 
a.	y – 6 = (x + 6)	c.	y + 6 = (x + 6)	
b.	y + 6 = (x – 6)	d.	y + 6 = (x + 6)	

Write each equation in standard form.

____	25.	y + 6 = (x + 4)
a.	x + y = –2	c.	x – y = 2	
b.	y = x – 2	d.	x – y = 10	

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.

____	26.	
Average Cycling Speed	

a.	no correlation	
b.	negative; as time passes, speed decreases	
c.	positive; as time passes, speed increases	
d.	positive; as time passes, speed decreases	

____	27.	
Video Rental Fines	

a.	negative; as the number of videos rented increases, the amount of fine increases.	
b.	negative; as the number of videos rented increases, the amount of fine decreases.	
c.	no correlation	
d.	positive; as the number of videos rented increases, the amount of fine decreases.	

____	28.	
People Entering Amusement Park	
	
Time (minutes)	

a.	positive; as time passes, the number of people entering decreases.	
b.	negative; as time passes, the number of people entering decreases.	
c.	no correlation	
d.	positive; as time passes, the number of people entering increases.	

____	29.	
Strawberries Picked	
	
Time (hours)	

a.	positive; as time passes, the number of quarts picked decreases.	
b.	negative; as time passes, the number of quarts picked decreases.	
c.	no correlation	
d.	positive; as time passes, the number of quarts picked increases.	

____	30.	
	United States Birth Rate (per 1000)	

		
	Year	
	Source: National Center for Health Statistics, U.S. Dept. of Health and Human Services	

a.	no correlation	
b.	positive correlation; as time passes, the birth rate increases.	
c.	positive correlation; as time passes, the birth rate decreases.	
d.	negative correlation; as time passes, the birth rate decreases.	

____	31.	
	Consumer Price Index, 1950-2002	

		
	Year	
	Source: Bureau of Labor Statistics, U.S. Dept. of Labor	

a.	no correlation	
b.	positive correlation; as time passes, the CPI increases.	
c.	positive correlation; as time passes, the CPI decreases.	
d.	negative correlation; as time passes, the CPI decreases.	

____	32.	
	Domestic Traveler Spending in the U.S., 1987-1999	

	Year	
	Source: The World Almanac, 2003	

a.	positive correlation; as time passes, spending increases.	
b.	no correlation	
c.	positive correlation; as time passes, spending decreases.	
d.	negative correlation; as time passes, spending decreases.	

United States Birth Rate	
Year	1990	1991	1992	1993	1994	1995	1996	1997	1998	1999	2000	2001	
Birth Rate
(per 1000)	
16.7	
16.3	
15.9	
15.5	
15.2	
14.8	
14.7	
14.5	
14.6	
14.5	
14.7	
14.5	
Source: National Center for Health Statistics, U.S. Dept. of Health and Human Services	

____	33.	Let x represent the number of years since 1990 with x = 0 representing 1990. Let y represent the birth rate per 1000 population. Write the slope-intercept form of the equation for the line of fit using the points representing 1992 and 2000.
a.		c.		
b.		d.		

	Domestic Traveler Spending in the U.S., 1987-1999	

	Year	
	Source: The World Almanac, 2003	

____	34.	Use the scatter plot that shows the domestic traveler spending. Predict the amount of spending for domestic travelers in 2010.
a.	about $640,000,000	c.	about $640	
b.	about $460,000,000,000	d.	about $640,000,000,000	

Strawberries Picked	

____	35.	Use the scatter plot that shows the number of quarts of strawberries picked each hour. Use the points (1, 73) and (8, 41) to write the slope-intercept form of an equation for the line of fit shown in the scatter plot.
a.		c.		
b.		d.		

____	36.	Use the scatter plot that shows the number of quarts of strawberries picked each hour. Predict the number of quarts that will be picked in the tenth hour.
a.	about 123 quarts	c.	about 32 quarts	
b.	about 45 quarts	d.	about 34 quarts	

Average Cycling Speed	

____	37.	Use the scatter plot that shows the average cycling speed as time passes. Use the points (5, 15) and (25, 10) to write the slope-intercept form of an equation for the line of fit shown in the scatter plot.
a.		c.		
b.		d.		

____	38.	Use the scatter plot that shows the average cycling speed as time passes. Predict the speed of the cyclist after 30 minutes.
a.	about 6.2 miles per hour	c.	about 12.3 miles per hour	
b.	about 8.8 miles per hour	d.	about 10.5 miles per hour	

Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation.

____	39.	(5, –1), y = x + 1
a.	y = x + 	
b.	y = x + 	
c.	y = x + 	
d.	y = x – 	

Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the graph of the equation.

____	40.	(2, 2), y = x + 5
a.	y = x – 	
b.	y = x – 	
c.	y = x – 	
d.	y = x –