Rate of Change and Slope
Find the slope of the line that passes through the pair of points (0,5), (6,2).
What is -1/2?
What is (0,0)?
Find the next three terms of the sequence
1.4, 1.2, 1.0, ...
What are 0.8, 0.6, 0.4?
True or false: a proportional relationship crosses at the origin when graphed.
What is true?
y=x2-4
What is no?
Find the slope of the line that passes through the points (-6,4), (-6,-2).
What is undefined?
Suppose y varies directly as x. Write a direct variation equation that relates x and y.
If y=15 when x=2.
What is y=7.5x?
Write an equation for the nth term of the arithmetic sequence.
a1=6, d=5
What is an=5n+1?
The information below shows the cost of picking your own strawberries at a farm. Write an equation in function notation to describe this relationship.
# of lbs 1, 2, 3, 4,...
Total Cost ($) 1.25, 2.50, 3.75, 5.00
What is f(x)=3x?
The x and y intercepts of the function are ________.
x+y=4
What are (0,4) and (4,0)?
The average cost of online photos decreased from $0.50 per print to $0.15 per print between 2002 and 2009. Find the average rate of change in the cost. Explain what it means.
What is an average decrease in cost of $0.05 per year?
Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.
If y=4 when x=-4, find y when x=7.
What is y=-x and y=-7?
Write an equation for the nth term of the arithmetic sequence.
28, 25, 22, 19,...
The information below shows the cost of picking your own strawberries at a farm. The cost to pick 6 pounds of strawberries is _________.
# of lbs 1, 2, 3, 4,...
Total Cost ($) 1.25, 2.50, 3.75, 5.00
What is $7.50?
Name two other names for x-intercepts.
What are roots and zeros?
Explain how the rate of change and slope are related.
What is they are both ratios used to describe changes in quantity?
Suppose you earn $127 for working 20 hours. Write a direct variation equation relating your earnings to the number of hours worked.
What is y=6.35x?
The information below gives the distance traveled by sound in water. Write an equation for this sequence. Then find the time for sound to travel 72,300 feet.
Time (s): 1, 2, 3, 4, ...
Distance (ft): 4820, 9640, 14,460, 19,280...
What is an=4820n and 15 seconds?
Graph the function f(x)= 3x-2. Explain if it is proportional or non-proportional.
What is non-proportional?
(check graph for slope of 3 and y-int -2)
Solve 24x-72=0
What is x=3?
When driving up a certain hill, you rise 15 feet for every 1000 feet you drive forward. The slope of the road is __________.
What is 3/200?
Write a direct variation equation that relates the variables. The weight W of an object is 9.8m/s2 times the mass of the object m.
What is W=9.8m?
Find the value of x that makes x+8, 4x+6, and 3x the first three terms of an arithmetic sequence.
What is -1?
Graph the function f(x) = 2x and tell if it is proportional or non-proportional.
What is proportional?
(check graph for slope of 2 and intercepts of 0)
Solve 3x-5=3x-10
What is no solution?