Is it Proportional?
A relationship is proportional only if its graph passes through this point.
What is the origin?
y=7x
What is 7?
The graph of a proportional relationship must be this type of line.
A straight line through the origin.
“A car travels 60 miles in 1 hour.” Write the equation.
d = 60t.
The area formula for a parallelogram is base times what?
Height
A table shows ratios 2/6, 4/12, and 5/15. Is the relationship proportional?
What is a ratio matching proportional relationship?
2 pounds of apples cost 6 dollars
What is 3?
If k = 1/2, what is the equation?
y=(1/2)x
Convert the table to an equation: (x--->y)
1→4, 2→8, 3→12
y=4x
A=d1 + d2 divided by half. What is the shape and area if the lengths are 10 and 6
A rhombus with diagonals 10 and 6 has an area of 30.
A graph is a straight line but crosses the y-axis at 4. Proportional or not?
What is a non proportional relationship?
Graph of a line goes through (5, 20)
What is 4?
A graph rises 10 units for every 2 units right. Write the equation.
Y=5x
Write a verbal description for y = 0.3x.
for every value of x, y is 0.3 times that.
A trapezoid with bases 8 and 14 and height 5 has this area.
55 square units.
A relationship is proportional when every output is a constant multiple of this X value variable.
What is k, the Constant of Proportionality?
A recipe uses 3 cups of flour for 8 servings. Find k in cups per serving.
3/8 cups per serving.
A table shows x: 0, 4, 10 and y: 0, 6, 15. Can this represent a proportional relationship?
Yes because k=1.5
A graph shows the point (8, 24). and goes through the origin. Write a matching equation.
y=3x
A composite figure has a 10×4 rectangle and a semicircle of radius 2. What’s the total area?
Hint: A semicircle is half the area of a circle, =piR2
40 + 2pi
Is this proportional?
X: 3 8 10
Y: 12 32 40
What is a COP of 4?
Write the Equation with a constant of 12.
what is y=12x
A student’s graph looks proportional but the points are unevenly spaced. What mistake is likely?
Wrong scale on the graph
Six pounds of oranges cost $9. Make a description, table, and equation.
Description: $1.50 per pound.
Table: 1→1.50, 2→3, 3→4.5.
Equation: y = 1.5x.
If the scale factor is 3, areas grow by the k2
What is 9?