Dividing Frac/Dec
Divide.
7/2 divide 1/2 =
7
(14/2)
A triangle with a length of 5 cm is scaled by 300%, what is the length of the new triangle?
15 cm
(5 • 3)
How can you tell that a graph is an example of a proportional relationship?
It is a straight line through the origin (0,0).
In the proportional equation 1.8x = y, what is the unit rate?
1.8
A ____ ____ is a rate per 1 unit.
Unit rate
Divide.
8/5 divide 1/4 =
32/5 or 6 2/5 or 6.4
An image's width enlarged from 4 inches to 16 inches. What is the scale factor?
4 or 400%
How can you tell that a table represents a proportional relationship?
There is a constant multiplier/unit rate (all x values are multiplied by the same amount to get every y value), and/or 0 corresponds to 0, and/or doubling works.
A car travels 120 miles in 2 hours. How fast does it travel per hour?
60 miles per hour
_____ ______ is the number every length is multiplied by to enlarge or reduce a figure.
Scale factor
Divide.
10 divide 0.2 =
50
(100 divided by 2)
An image's length is reduced from 9 inches to 3 inches. What is the scale factor?
1/3 or 33 1/3 %
The x values are always graphed along what side of the graph?
The bottom (horizontally on the x-axis).
If 2 shirts cost $15, how much will 3 shirts cost?
$22.50
(1 shirt costs $7.50)
A ____________ relationship is where all x values are multiplied by the same amount to get the y values.
Proportional
Divide.
1.5 divide 0.3 =
5
(15 divided by 3)
An image with a length of 8 inches is enlarged by 150%, what is the new length?
12 inches
On a table, when x=4, y=12 and when x=6, y=5. Is this a proportional relationship?
No. The x values are not being multiplied by a constant multiplier.
In four weeks, Hayley saved $100. If she saves money at a constant rate, how long until she saves $150?
6 weeks total.
(2 more weeks)
The horizontal line of a graph is called the _______.
X-axis
Divide.
2 3/5 divide 3/4 =
52/15 or 3 7/15
An image with a side length of 24 cm is reduced by a factor of 5/6. What is the new length?
20 cm
On a graph, a line goes through points (3,3) and (0,2). Is this a proportional relationship?
No, because it would have to go though point (0,0) to be proportional, not (0,2).
Matthew ran the 200-YARD dash in 40 seconds. How many FEET could Matthew run each second?
15 FEET per second
(5 yards per second)
The point (0,0) on a coordinate plane is called the ______.
Origin