Ratios and Rates
Find the unit rate.
180 miles in 3 hours.
60 mph
Explain what qualities are exhibited in a proportional graph.
Straight line
Travels through the origin
Find the slope of a line between the following points...
(3,2) and (6,3)
1/3
Tell whether x and y show direct variation...
y-x=4
no
|a2-2ac+5b|
a= -2
b= 3
c= -5
1
Find the unit rate.
21 3/4 meters in 2 1/2 hours.
8 7/10 mph
Write a proportion to find how many points a student needs to score on the test to get the given score...
test worth 80 points; test score of 80%
x/80=80/100
Find the slope of a line going through the following points...
(-4, -3) and (2, 1.5)
3/4
Tell whether x and y show direct variation...
x= 2/5y
yes
(-q2-r)/ s
q= -2
r= -12
s= 8
1
Write the ratio as a fraction in simplest form.
2 1/3 ft : 4 1/2 ft
14/27
5/2 = (d-2)/4
d=12
Find the slope of a line going through the following points...
(3/2, 3/2) and (3/2, -4)
undefined
Tell whether x and y show direct variation, if so find k...
x-y=0
yes, k=1
(cd-d2)/ 4
c= 0
d= -6
-9
At 1pm you have 24 megabytes of a movie. At 1:15 pm you have 96 megabytes. What is the download rate in megabytes per minute?
4.8 mpm
There are 144 people in a n audience. The ratio of adults to children is 5 to 3. How many are adults?
90 adults
Find the slope of a line going through the following points...
(2,0) and (5,0)
0
Use the values to write an equation that relates x and y then find the constant of proportionality.
y=20 x=12
y=5/3x
k= 5/3
(-42-(-2)3)/ 4
-2
You mix 1/4 cup of juice concentrate for every 2 cups of water to make 18 cups of juice. How much juice concentrate and water do you use?
2 cups juice concentrate
16 cups of water
3 pounds of lawn seed covers 1800 square feet. How many 4 pound bags of lawn seed are needed to cover 8400 square feet?
4 bags
A line has a slope of 2. It passes through the points (1,2) and (3,y). What is the value of y?
6
Is the graph of every direct variation equation a line? Does the graph of every line represent a direct variation equation? Explain using examples.
yes...
no...
no calculator...
-3/4x+1/8= -3/8
2/3