Proportional Relationships and Slope (4-1)
Slope of a Line and Similar Triangles (4-2 and 4-3)
Direct Variation (4-4)
Slope Intercept Form and Graphing Linear Equations (4-5 and 4-6)
100
The graph shows the height of a hot air balloon above the ground during the first few minutes after takeoff. Find the slope.
What is... m = 20.
100
What is the slope of the line?
What is... m =
2/1 or 2
100
The cost y of movie tickets varies directly with the number of tickets x as shown in the graph. Write a direct variation equation.
What is...
y = 8x or y = 8.00x
100
Identify the slope and y-intercept of the graph of the equation y = 3x - 1.
Part A. Slope?
Part B. Y-intercept?
What is...
Part A. m = 3
Part B. b = -1
200
The graph shows the number of cars washed over several hours at a fundraiser.
Part A. Find the slope.
Part B. Interpret it.
What is...
Part A. m = 15.
Part B. This means that there were 15 cars washed each hour.
200
Find the slope.
What is...m =
0.5/2 or 0.25
200
The number of miles y varies directly with the number of hours x as shown in the graph. Write a direct variation equation.
What is...
y = 65x
200
What is the equation of the line in slope intercept form?
What is...
y=- 4/5x +3
300
The table shows the number of pages Coryn reads after different lengths of time.
A. Find the unit rate.
B. Interpret the unit rate.
What is...
Part A. Unit Rate is 2.
Part B. Coryn read 2 pages per minute.
300
Find the slope of the line that passes through M(3, 5) and N(2, 6).
What is...m =
1/-1 or -1
300
The cost of paper y varies directly with the number of reams bought x. Suppose two reams cost $5.10.
Write a direct variation equation in the form y = kx (same as y=mx) to represent this relationship. Express your answer as a decimal.
What is... y = 2.55x
300
The table shows the costs for art show participants, including the $30 registration fee. Write an equation in slope-intercept form that represents the data in the table.
What is...
y = 30x + 30
400
The amount of power y solar panel A can produce with an area of x square meters can be represented by the equation y=1,020x. The amount of power solar panel B can produce is shown on the graph. Which solar panel can produce more power?
What is...Solar Panel B.
400
The plans for a zipline are shown. Use two points to determine the slope of the zipline. Then verify that the slope is the same by choosing a different set of points. What is the slope of the zipline?
What is...m =
- 1/3
400
A backyard fountain pumps 18 gallons of water in 4.5 minutes. Assume the number of gallons varies directly with the time.
Part A. Write a direct variation equation in the form y = kx (same as y=mx) that could be used to find the number of gallons of water y the fountain can pump in any number of minutes x.
Part B. How many gallons of water will the fountain pump in 6.5 minutes?
What is...
Part A. y=4x
Part B. 26 gallons
400
Graph equation
y = 1/5x + 3.5
What is...
500
The amount of money y that Regina spent on x pounds of bananas at the grocery store is shown in the table.
Patty paid $0.45 per pound for bananas at a farmer's market.
Part A. Who got the better deal on bananas?
Part B. Explain why.
What is...
Part A. Patty
Part B. (Student answers may vary)
The unit rate for Regina is $0.48. The unit rate for Patty is $0.45. That means that Regina will pay $0.48 per banana and Patty will pay $0.45 per banana. So Patty got the better deal.
500
There are three slope triangles shown in the graph. What is the slope of the line?
What is...m =
1/2 or 0.5
500
The cost y of tickets to the zoo varies directly with the number of tickets x as shown in the graph.
Part A. Write a direct variation equation in the form y = kx (same as y=mx) to represent this relationship.
Part B. Identify the constant of variation and interpret its meaning.
What is...
Part A. y = 12x
Part B. The constant of variation is 12. This means that the cost per ticket is $12.00.
500
Rachel is graphing the equation on a coordinate plane.
y = 2/3x+1
Part A. What would be the y-intercept written as an ordered pair? (?,?)
Part B. What is another point that falls on the line with a value of x being 3? (3, ?)
What is...
Part A. y-intercept is (0,1)
Part B. Another point that lies on the line is (3,3)